2
2.0

Dec 1, 2021
12/21

by
Pedro Vieira (pvieira96)

data

#
eye 2

#
favorite 0

#
comment 0

I made this conector relocated because on one of the flights the negative cable from the board was almost cut off completely, So i design a few exemples that could help from that happening again. This version has a 25º inclination to help the cable from the battery. The XT60 conector is well tight, i printed mine with 100% infill for more regality, because one off the old version cracked when the drone crashed. It took me close to 1 hour to print. If you have any suggestion feel free to say...

Topics: R/C Vehicles, thingiverse, stl

48
48

Sep 23, 2013
09/13

by
Pedro Vieira; Dmytro Volin

texts

#
eye 48

#
favorite 0

#
comment 0

We review the construction of the AdS/CFT dressing factor, its analytic properties and several checks of its validity.

Source: http://arxiv.org/abs/1012.3992v2

60
60

Sep 19, 2013
09/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 60

#
favorite 0

#
comment 0

We prove the universality of the Hernandez-Lopez phase by deriving it from first principles. We find a very simple integral representation for the phase and discuss its possible origin from a nested Bethe ansatz structure. Hopefully, the same kind of derivation could be used to constrain higher orders of the full quantum dressing factor.

Source: http://arxiv.org/abs/hep-th/0703266v1

37
37

Sep 21, 2013
09/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 37

#
favorite 0

#
comment 0

We analyze nested Bethe ansatz (NBA) and the corresponding finite size corrections. We find an integral equation which describes these corrections in a closed form. As an application we considered the conjectured Beisert-Staudacher (BS) equations with the Hernandez-Lopez dressing factor where the finite size corrections should reproduce generic one (worldsheet) loop computations around any classical superstring motion in the AdS_5 x S^5 background with exponential precision in the large angular...

Source: http://arxiv.org/abs/0709.3487v2

48
48

Sep 20, 2013
09/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 48

#
favorite 0

#
comment 0

We compute structure constants in N=4 SYM at one loop using Integrability. This requires having full control over the two loop eigenvectors of the dilatation operator for operators of arbitrary size. To achieve this, we develop an algebraic description called the Theta-morphism. In this approach we introduce impurities at each spin chain site, act with particular differential operators on the standard algebraic Bethe ansatz vectors and generate in this way higher loop eigenvectors. The final...

Source: http://arxiv.org/abs/1205.5288v1

36
36

Sep 22, 2013
09/13

by
Amit Sever; Pedro Vieira

texts

#
eye 36

#
favorite 0

#
comment 0

Under the assumption of a CSW generalization to loop amplitudes in N=4 SYM, (1) We prove that, formally the S-matrix is superconformal invariant to any loop order, and (2) We argue that superconformal symmetry survives regularization. More precisely, IR safe quantities constructed from the S-matrix are superconformal covariant. The IR divergences are regularized in a new holomorphic anomaly friendly regularization. The CSW prescription is known to be valid for all tree level amplitudes and for...

Source: http://arxiv.org/abs/0908.2437v2

57
57

Sep 18, 2013
09/13

by
Joao Penedones; Pedro Vieira

texts

#
eye 57

#
favorite 0

#
comment 0

The anomalous dimensions of local single trace gauge invariant operators in N=4 supersymmetric Yang-Mills theory can be computed by diagonalizing a long range integrable Hamiltonian by means of perturbative asymptotic Bethe ansatz. This formalism breaks down when the number of fields of the composite operator is smaller than the range of the Hamiltonian which coincides with the order in perturbation theory at study. We analyze two spin chain toy models which might shed some light on the physics...

Source: http://arxiv.org/abs/0806.1047v1

55
55

Sep 19, 2013
09/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 55

#
favorite 0

#
comment 0

We propose a method for computing the energy level spacing around classical string solutions in AdS(5)xS(5). This method is based on the integrable structure of the string and can be applied to an arbitrary classical configuration. Our approach treats in equal footing the bosonic and fermionic excitations and provides an unambiguous prescription for the labeling of the fluctuation frequencies. Finally we revisit the computation of these frequencies for the SU(2) and SL(2) circular strings and...

Source: http://arxiv.org/abs/hep-th/0703191v1

3
3.0

Jun 29, 2018
06/18

by
Benny Sudakov; Pedro Vieira

texts

#
eye 3

#
favorite 0

#
comment 0

A family $\mathcal A$ of subsets of an $n$-element set is called an eventown (resp. oddtown) if all its sets have even (resp. odd) size and all pairwise intersections have even size. Using tools from linear algebra, it was shown by Berlekamp and Graver that the maximum size of an eventown is $2^{\left\lfloor n/2\right\rfloor}$. On the other hand (somewhat surprisingly), it was proven by Berlekamp, that oddtowns have size at most $n$. Over the last four decades, many extensions of this...

Topics: Combinatorics, Mathematics

Source: http://arxiv.org/abs/1610.07907

54
54

Sep 23, 2013
09/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 54

#
favorite 0

#
comment 0

Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the...

Source: http://arxiv.org/abs/1202.4103v2

138
138

Jul 22, 2013
07/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 138

#
favorite 0

#
comment 0

We present the OSp(2,2|6) symmetric algebraic curve for the AdS4/CFT3 duality recently proposed in arXiv:0806.1218. It encodes all classical string solutions at strong t'Hooft coupling and the full two loop spectrum of long single trace gauge invariant operators in the weak coupling regime. This construction can also be used to compute the complete superstring semi-classical spectrum around any classical solution. We exemplify our method on the BMN point-like string.

Source: http://arxiv.org/abs/0807.0437v2

163
163

Jul 24, 2013
07/13

by
Nikolay Gromov; Pedro Vieira

texts

#
eye 163

#
favorite 0

#
comment 0

We propose a set of Bethe equations yielding the full asymptotic spectrum of the AdS4/CFT3 duality proposed in arXiv:0806.1218 to all orders in the t'Hooft coupling. These equations interpolate between the 2-loop Bethe ansatz of Minahan and Zarembo arXiv:0806.3951 and the string algebraic curve of arXiv:0807.0437. The several SU(2|2) symmetries of the theory seem to highly constrain the form of the Bethe equations up to a dressing factor whose form we also conjecture.

Source: http://arxiv.org/abs/0807.0777v2

112
112

Sep 17, 2013
09/13

by
Vladimir Kazakov; Pedro Vieira

texts

#
eye 112

#
favorite 0

#
comment 0

We give an elementary proof of the Bazhanov-Reshetikhin determinant formula for rational transfer matrices of the twisted quantum super-spin chains associated with the gl(K|M) algebra. This formula describes the most general fusion of transfer matrices in symmetric representations into arbitrary finite dimensional representations of the algebra and is at the heart of analytical Bethe ansatz approach. Our technique represents a systematic generalization of the usual Jacobi-Trudi formula for...

Source: http://arxiv.org/abs/0711.2470v2

33
33

Sep 23, 2013
09/13

by
Amit Sever; Pedro Vieira

texts

#
eye 33

#
favorite 0

#
comment 0

We introduce the notion of Multichannel Conformal Blocks relevant for the Operator Product Expansion for Null Polygon Wilson loops with more than six edges. As an application of these, we decompose the one loop heptagon Wilson loop and predict the value of its two loop OPE discontinuities. At the functional level, the OPE discontinuities are roughly half of the full result. Using symbols they suffice to predict the full two loop result. We also present several new predictions for the heptagon...

Source: http://arxiv.org/abs/1105.5748v2

12
12

Jun 28, 2018
06/18

by
Benjamin Basso; Amit Sever; Pedro Vieira

texts

#
eye 12

#
favorite 0

#
comment 0

We report on the complete OPE series for the 6-gluon MHV and NMHV amplitudes in planar $\mathcal{N}=4$ SYM theory. Namely, we provide a finite coupling prediction for all the terms in the expansion of these amplitudes around the collinear limit. These furnish a non-perturbative representation of the full amplitudes.

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1508.03045

38
38

Sep 22, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Pedro Vieira

texts

#
eye 38

#
favorite 0

#
comment 0

We propose, using the example of the O(4) sigma model, a general method for solving integrable two dimensional relativistic sigma models in a finite size periodic box. Our starting point is the so-called Y-system, which is equivalent to the thermodynamic Bethe ansatz equations of Yang and Yang. It is derived from the Zamolodchikov scattering theory in the cross channel, for virtual particles along the non-compact direction of the space-time cylinder. The method is based on the integrable Hirota...

Source: http://arxiv.org/abs/0812.5091v2

40
40

Sep 23, 2013
09/13

by
Benjamin Basso; Amit Sever; Pedro Vieira

texts

#
eye 40

#
favorite 0

#
comment 0

We propose a non-perturbative formulation of planar scattering amplitudes in N=4 SYM or, equivalently, polygonal Wilson loops. The construction is based on the OPE approach and introduces a new decomposition of the Wilson loop in terms of fundamental building blocks named Pentagon transitions. These transitions satisfy a simple relation to the worldsheet S-matrix on top of the so called Gubser-Klebanov-Polyakov vacuum which allows us to bootstrap them at any value of the coupling. In this...

Source: http://arxiv.org/abs/1303.1396v1

5
5.0

Jun 30, 2018
06/18

by
Matthew Kwan; Benny Sudakov; Pedro Vieira

texts

#
eye 5

#
favorite 0

#
comment 0

We say a family of sets is intersecting if any two of its sets intersect, and we say it is trivially intersecting if there is an element which appears in every set of the family. In this paper we study the maximum size of a non-trivially intersecting family in a natural "multi-part" setting. Here the ground set is divided into parts, and one considers families of sets whose intersection with each part is of a prescribed size. Our work is motivated by classical results in the...

Topics: Combinatorics, Mathematics

Source: http://arxiv.org/abs/1703.09946

44
44

Sep 22, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Pedro Vieira

texts

#
eye 44

#
favorite 0

#
comment 0

We compute the full dimension of Konishi operator in planar N=4 SYM theory it for a wide range of couplings, from weak to strong coupling regime, and predict the subleading terms in its strong coupling asymptotics. For this purpose we solve numerically the integral form of the AdS/CFT Y-system equations for the exact energies of excited states proposed by us and A.Kozak.

Source: http://arxiv.org/abs/0906.4240v2

40
40

Sep 21, 2013
09/13

by
Amit Sever; Pedro Vieira; Tianheng Wang

texts

#
eye 40

#
favorite 0

#
comment 0

We extend the Operator Product Expansion for Null Polygon Wilson loops to the Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We explain how the known tree level amplitudes can be promoted into an infinite amount of data at any loop order in the OPE picture. As an application, we re-derive all one loop NMHV six gluon amplitudes by promoting their tree level expressions. We also present some new all loops predictions for these amplitudes.

Source: http://arxiv.org/abs/1108.1575v1

57
57

Sep 23, 2013
09/13

by
Nikolay Gromov; Amit Sever; Pedro Vieira

texts

#
eye 57

#
favorite 0

#
comment 0

We compute three-point functions between one large classical operator and two large BPS operators at weak coupling. We consider operators made out of the scalars of N=4 SYM, dual to strings moving in the sphere. The three-point function exponentiates and can be thought of as a classical tunneling process in which the classical string-like operator decays into two classical BPS states. From an Integrability/Condensed Matter point of view, we simplified inner products of spin chain Bethe states...

Source: http://arxiv.org/abs/1111.2349v1

11
11

Jun 27, 2018
06/18

by
Benjamin Basso; Shota Komatsu; Pedro Vieira

texts

#
eye 11

#
favorite 0

#
comment 0

We introduce a non-perturbative framework for computing structure constants of single-trace operators in the N=4 SYM theory at large N. Our approach features new vertices, with hexagonal shape, that can be patched together into three- and possibly higher-point correlators. These newborn hexagons are more elementary and easier to deal with than the three-point functions. Moreover, they can be entirely constructed using integrability, by means of a suitable bootstrap program. In this letter, we...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1505.06745

82
82

Sep 21, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Pedro Vieira

texts

#
eye 82

#
favorite 0

#
comment 0

We present a set of functional equations defining the anomalous dimensions of arbitrary local single trace operators in planar N=4 SYM theory. It takes the form of a Y-system based on the integrability of the dual superstring sigma-model on the AdS_5xS^5 background. This Y-system passes some very important tests: it incorporates the full asymptotic Bethe ansatz at large length of operator L, including the dressing factor, and it confirms all recently found wrapping corrections. The recently...

Source: http://arxiv.org/abs/0901.3753v3

10
10.0

Jun 30, 2018
06/18

by
Benjamin Basso; Amit Sever; Pedro Vieira

texts

#
eye 10

#
favorite 0

#
comment 0

We consider light-like Wilson loops with hexagonal geometry in the planar limit of N=4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of the colour flux tube sourced by any two opposite edges of the loops. Of particular interest are the two-particle contributions. They comprise virtual effects like the propagation of a pair of scalars, fermions, and gluons, on top of the flux tube. Each one of...

Topics: High Energy Physics - Theory, High Energy Physics - Phenomenology

Source: http://arxiv.org/abs/1402.3307

46
46

Sep 19, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Pedro Vieira

texts

#
eye 46

#
favorite 0

#
comment 0

In these proceedings we review the results of [1-3]. We show on the example of the SU(2) chiral-field how to reproduce the classical finite gap solutions for a large class of integrable sigma models from their exact quantum solutions. These solutions are usually formulated as Bethe ansatz equations for physical particles on a circle, with the interaction given by the factorized S-matrix conjectured from Zamolodchikovs' bootstrap procedure. Our method opens a new systematic way to justify this...

Source: http://arxiv.org/abs/hep-th/0703137v1

6
6.0

Jun 30, 2018
06/18

by
Benjamin Basso; Amit Sever; Pedro Vieira

texts

#
eye 6

#
favorite 0

#
comment 0

In this letter we consider the collinear limit of gluon scattering amplitudes in planar N=4 SYM theory at strong coupling. We argue that in this limit scattering amplitudes map into correlators of twist fields in the two dimensional non-linear O(6) sigma model, similar to those appearing in recent studies of entanglement entropy. We provide evidence for this assertion by combining the intuition springing from the string worldsheet picture and the predictions coming from the OPE series. One of...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1405.6350

4
4.0

Jun 30, 2018
06/18

by
Shagnik Das; Benny Sudakov; Pedro Vieira

texts

#
eye 4

#
favorite 0

#
comment 0

A classic theorem in combinatorial design theory is Fisher's inequality, which states that a family $\mathcal F$ of subsets of $[n]$ with all pairwise intersections of size $\lambda$ can have at most $n$ non-empty sets. One may weaken the condition by requiring that for every set in $\mathcal F$, all but at most $k$ of its pairwise intersections have size $\lambda$. We call such families $k$-almost $\lambda$-Fisher. Vu was the first to study the maximum size of such families, proving that for...

Topics: Mathematics, Combinatorics

Source: http://arxiv.org/abs/1408.3496

3
3.0

Jun 30, 2018
06/18

by
Benjamin Basso; Amit Sever; Pedro Vieira

texts

#
eye 3

#
favorite 0

#
comment 0

We analyze the pentagon transitions involving arbitrarily many flux-tube gluonic excitations and bound states thereof in planar N=4 Super-Yang-Mills theory. We derive all-loop expressions for all these transitions by factorization and fusion of the elementary transitions for the lightest gluonic excitations conjectured in a previous paper. We apply the proposals so obtained to the computation of MHV and NMHV scattering amplitudes at any loop order and find perfect agreement with available...

Topics: High Energy Physics - Theory, Mathematics, Nonlinear Sciences, Exactly Solvable and Integrable...

Source: http://arxiv.org/abs/1407.1736

50
50

Sep 17, 2013
09/13

by
Nikolay Gromov; Sakura Schafer-Nameki; Pedro Vieira

texts

#
eye 50

#
favorite 0

#
comment 0

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general, efficient way to compute the fluctuation frequencies, which allows to determine the energy shift for very general multi-cut solutions. Then we apply this to two-cut solutions, in particular the giant magnon and determine the finite-size corrections at...

Source: http://arxiv.org/abs/0807.4752v2

62
62

Sep 23, 2013
09/13

by
Nikolay Gromov; Sakura Schafer-Nameki; Pedro Vieira

texts

#
eye 62

#
favorite 0

#
comment 0

Understanding the finite-size corrections to the fundamental excitations of a theory is the first step towards completely solving for the spectrum in finite volume. We compute the leading exponential correction to the quantum energy of the fundamental excitation of the light-cone gauged string in AdS(5) x S(5), which is the giant magnon solution. We present two independent ways to obtain this correction: the first approach makes use of the algebraic curve description of the giant magnon. The...

Source: http://arxiv.org/abs/0801.3671v1

50
50

Sep 22, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Kazuhiro Sakai; Pedro Vieira

texts

#
eye 50

#
favorite 0

#
comment 0

We study the quantum Bethe ansatz equations in the O(2n) sigma-model for hysical particles on a circle, with the interaction given by the Zamolodchikovs' S-matrix, in view of its application to quantization of the string on the S^{2n-1} x R_t space. For a finite number of particles, the system looks like an inhomogeneous integrable O(2n) spin chain. Similarly to OSp(2m+n|2m) conformal sigma-model considered by Mann and Polchinski, we reproduce in the limit of large density of particles the...

Source: http://arxiv.org/abs/hep-th/0603043v1

68
68

Sep 19, 2013
09/13

by
Davide Gaiotto; Juan Maldacena; Amit Sever; Pedro Vieira

texts

#
eye 68

#
favorite 0

#
comment 0

We derive the two loop expressions for polygonal Wilson loops by starting from the one loop expressions and applying an operator product expansion. We do this for polygonal Wilson loops in R^{1,1} and find a result in agreement with previous computations. We also discuss the spectrum of excitations around flux tube that connects two null Wilson lines.

Source: http://arxiv.org/abs/1010.5009v2

10
10.0

Jun 27, 2018
06/18

by
Asaf Ferber; Michael Krivelevich; Benny Sudakov; Pedro Vieira

texts

#
eye 10

#
favorite 0

#
comment 0

We introduce a new setting of algorithmic problems in random graphs, studying the minimum number of queries one needs to ask about the adjacency between pairs of vertices of ${\mathcal G}(n,p)$ in order to typically find a subgraph possessing a given target property. We show that if $p\geq \frac{\ln n+\ln\ln n+\omega(1)}{n}$, then one can find a Hamilton cycle with high probability after exposing $(1+o(1))n$ edges. Our result is tight in both $p$ and the number of exposed edges.

Topics: Combinatorics, Mathematics, Probability

Source: http://arxiv.org/abs/1505.00730

47
47

Sep 21, 2013
09/13

by
Nikolay Gromov; Vladimir Kazakov; Andrii Kozak; Pedro Vieira

texts

#
eye 47

#
favorite 0

#
comment 0

Using the thermodynamical Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in arXiv:0901.3753 for the spectrum of all operators in planar N=4 SYM theory follows from these equations. In particular, we present the integral equations for the spectrum of all operators within the sl(2) sector. We prove that all the kernels and free terms entering these TBA equations are real and have nice fusion...

Source: http://arxiv.org/abs/0902.4458v4

50
50

Sep 21, 2013
09/13

by
Jorge Escobedo; Nikolay Gromov; Amit Sever; Pedro Vieira

texts

#
eye 50

#
favorite 0

#
comment 0

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the Frolov-Tseytlin classical limit for a very general class of classical solutions. To achieve this match we clarify the issue of back-reaction and identify precisely which three-point functions are captured by a classical computation.

Source: http://arxiv.org/abs/1104.5501v2

62
62

Sep 23, 2013
09/13

by
Jorge Escobedo; Nikolay Gromov; Amit Sever; Pedro Vieira

texts

#
eye 62

#
favorite 0

#
comment 0

We use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed back together into some nice pants, the three-point function. The algebraic and coordinate Bethe ansatz tools necessary for this task are reviewed. Finally, we discuss the classical limit of our results, anticipating some predictions for quasi-classical string...

Source: http://arxiv.org/abs/1012.2475v2

50
50

Sep 18, 2013
09/13

by
Davide Gaiotto; Juan Maldacena; Amit Sever; Pedro Vieira

texts

#
eye 50

#
favorite 0

#
comment 0

Using the Operator Product Expansion for Wilson loops we derive a simple formula giving the discontinuities of the two loop result in terms of the one loop answer. We also argue that the knowledge of these discontinuities should be enough to fix the full two loop answer, for a general number of sides. We work this out explicitly for the case of the hexagon and rederive the known result.

Source: http://arxiv.org/abs/1102.0062v1

18
18

Jun 27, 2018
06/18

by
Asaf Ferber; Michael Krivelevich; Benny Sudakov; Pedro Vieira

texts

#
eye 18

#
favorite 0

#
comment 0

We discuss a new algorithmic type of problem in random graphs studying the minimum number of queries one has to ask about adjacency between pairs of vertices of a random graph $G\sim {\mathcal G}(n,p)$ in order to find a subgraph which possesses some target property with high probability. In this paper we focus on finding long paths in $G\sim \mathcal G(n,p)$ when $p=\frac{1+\varepsilon}{n}$ for some fixed constant $\varepsilon>0$. This random graph is known to have typically linearly long...

Topics: Combinatorics, Mathematics, Probability

Source: http://arxiv.org/abs/1505.00734

9
9.0

Jun 28, 2018
06/18

by
Benjamin Basso; Vasco Goncalves; Shota Komatsu; Pedro Vieira

texts

#
eye 9

#
favorite 0

#
comment 0

We perform extensive three-loop tests of the hexagon bootstrap approach for structure constants in planar $\mathcal{N}=4$ SYM theory. We focus on correlators involving two BPS operators and one non-BPS operator in the so-called $SL(2)$ sector. At three loops, such correlators receive wrapping corrections from mirror excitations flowing in either the adjacent or the opposing channel. Amusingly, we find that the first type of correction coincides exactly with the leading wrapping correction for...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1510.01683

53
53

Sep 20, 2013
09/13

by
Lorenzo Cornalba; Miguel S. Costa; Joao Penedones; Pedro Vieira

texts

#
eye 53

#
favorite 0

#
comment 0

We give evidence in favour of a string/black hole transition in the case of BPS fundamental string states of the Heterotic string. Our analysis goes beyond the counting of degrees of freedom and considers the evolution of dynamical quantities in the process. As the coupling increases, the string states decrease their size up to the string scale when a small black hole is formed. We compute the absorption cross section for several fields in both the black hole and the perturbative string phases....

Source: http://arxiv.org/abs/hep-th/0607083v3

40
40

Sep 20, 2013
09/13

by
Luis F. Alday; Juan Maldacena; Amit Sever; Pedro Vieira

texts

#
eye 40

#
favorite 0

#
comment 0

We compute N=4 Super Yang Mills planar amplitudes at strong coupling by considering minimal surfaces in AdS_5 space. The surfaces end on a null polygonal contour at the boundary of AdS. We show how to compute the area of the surfaces as a function of the conformal cross ratios characterizing the polygon at the boundary. We reduce the problem to a simple set of functional equations for the cross ratios as functions of the spectral parameter. These equations have the form of Thermodynamic Bethe...

Source: http://arxiv.org/abs/1002.2459v2

16
16

Jun 28, 2018
06/18

by
Benjamin Basso; Joao Caetano; Lucia Cordova; Amit Sever; Pedro Vieira

texts

#
eye 16

#
favorite 0

#
comment 0

We present the general flux tube integrand for MHV and non-MHV amplitudes, in planar N = 4 SYM theory, up to a group theoretical rational factor. We find that the MHV and non-MHV cases only differ by simple form factors which we derive. This information allows us to run the operator product expansion program for all sorts of non-MHV amplitudes and to test the recently proposed map with the so called charged pentagons transitions. Perfect agreement is found, on a large sample of non-MHV...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1508.02987

7
7.0

Jun 30, 2018
06/18

by
Benjamin Basso; Joao Caetano; Lucia Cordova; Amit Sever; Pedro Vieira

texts

#
eye 7

#
favorite 0

#
comment 0

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and so-called charged pentagon transitions. These OPE building blocks are generalizations of the bosonic pentagons entering MHV amplitudes and they can be bootstrapped at finite coupling from the integrable dynamics of the color flux tube. A byproduct of our map is a...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1412.1132

89
89

Sep 23, 2013
09/13

by
Luis F. Alday; Davide Gaiotto; Juan Maldacena; Amit Sever; Pedro Vieira

texts

#
eye 89

#
favorite 0

#
comment 0

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear, limit and we explain the systematics of all the subleading corrections, going beyond the leading terms that were previously considered. These subleading corrections are governed by excitations of high spin operators, or excitations of a flux tube that goes...

Source: http://arxiv.org/abs/1006.2788v2

3
3.0

Jun 30, 2018
06/18

by
Benjamin Basso; Frank Coronado; Shota Komatsu; Ho Tat Lam; Pedro Vieira; De-liang Zhong

texts

#
eye 3

#
favorite 0

#
comment 0

We initiate the study of four-point functions of large BPS operators at any value of the coupling. We do it by casting it as a sum over exchange of superconformal primaries and computing the structure constants using integrability. Along the way, we incorporate the nested Bethe ansatz structure to the hexagon formalism for the three-point functions and obtain a compact formula for the asymptotic structure constant of a non-BPS operator in a higher rank sector.

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1701.04462

106
106

Sep 23, 2013
09/13

by
Niklas Beisert; Changrim Ahn; Luis F. Alday; Zoltan Bajnok; James M. Drummond; Lisa Freyhult; Nikolay Gromov; Romuald A. Janik; Vladimir Kazakov; Thomas Klose; Gregory P. Korchemsky; Charlotte Kristjansen; Marc Magro; Tristan McLoughlin; Joseph A. Minahan; Rafael I. Nepomechie; Adam Rej; Radu Roiban; Sakura Schafer-Nameki; Christoph Sieg; Matthias Staudacher; Alessandro Torrielli; Arkady A. Tseytlin; Pedro Vieira; Dmytro Volin; Konstantinos Zoubos

texts

#
eye 106

#
favorite 0

#
comment 0

This is the introductory chapter of a review collection on integrability in the context of the AdS/CFT correspondence. In the collection we present an overview of the achievements and the status of this subject as of the year 2010.

Source: http://arxiv.org/abs/1012.3982v5