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Related papers: The S-matrix of the AdS5 x S5 superstring

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Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the gravity dual are adequate, and one must…

High Energy Physics - Theory · Physics 2008-11-26 Iosif Bena , Joseph Polchinski , Radu Roiban

We propose a worldsheet description for the ${\rm AdS}_5\times {\rm S}^5$ string theory dual to large $N$, free ${\cal N}=4$ super Yang-Mills in four dimensions. The worldsheet theory is a natural generalisation of the recently investigated…

High Energy Physics - Theory · Physics 2021-09-29 Matthias R. Gaberdiel , Rajesh Gopakumar

The scattering equations relate massless scattering kinematics to marked points on a Riemann sphere, and underpin remarkable formulae for the full tree-level S-matrices of many interesting QFTs, including cubic biadjoint scalars, Yang-Mills…

High Energy Physics - Theory · Physics 2026-01-13 Tim Adamo , Iustin Surubaru , Bin Zhu

We consider the problem of boundary scattering for Y=0 maximal giant graviton branes. We show that the boundary S-matrix for the fundamental excitations has a Yangian symmetry. We then exploit this symmetry to determine the boundary…

High Energy Physics - Theory · Physics 2014-11-20 Changrim Ahn , Rafael I. Nepomechie

Integrability of the string worldsheet theory in AdS(5) x S(5) is related to the existence of a flat connection depending on the spectral parameter. The transfer matrix is the open-ended Wilson line of this flat connection. We study the…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Mikhailov , Sakura Schafer-Nameki

In this paper we find the Yangian algebra responsible for the integrability of the AdS2 X S2 X T^6 superstring in the planar limit. We demonstrate the symmetry of the corresponding exact S-matrix in the massive sector, including the…

High Energy Physics - Theory · Physics 2016-03-23 Ben Hoare , Antonio Pittelli , Alessandro Torrielli

We reformulate the nested coordinate Bethe ansatz in terms of coproducts of Yangian symmetry generators. This allows us to derive the nested Bethe equations for the bound state string S-matrices. We find that they coincide with the Bethe…

High Energy Physics - Theory · Physics 2009-01-22 M de Leeuw

We consider the worldsheet S matrix of superstrings on an AdS3xS3xT4 NS-NS background in uniform light-cone gauge. We argue that scattering is given by a CDD factor that is non-trivial only between opposite-chirality particles, yielding a…

High Energy Physics - Theory · Physics 2018-07-25 Marco Baggio , Alessandro Sfondrini

The standard unitarity-cut method is applied to several massive two-dimensional models, including the world-sheet AdS$_5\times S^5$ superstring, to compute $2\to 2$ scattering S-matrices at one loop from tree level amplitudes. Evidence is…

High Energy Physics - Theory · Physics 2014-01-03 Valentina Forini , Lorenzo Bianchi , Ben Hoare

We apply the algebraic Bethe ansatz technique to compute the eigenvalues of the transfer matrix constructed from the general bound state S-matrix of the light-cone AdS5 x S5 superstring. This allows us to verify certain conjectures on the…

High Energy Physics - Theory · Physics 2009-10-20 Gleb Arutyunov , Marius de Leeuw , Ryo Suzuki , Alessandro Torrielli

We determine the bosonic part of the superstring sigma model Lagrangian on $\eta$-deformed AdS5 x S5, and use it to compute the perturbative world-sheet scattering matrix of bosonic particles of the model. We then compare it with the large…

High Energy Physics - Theory · Physics 2015-08-28 Gleb Arutyunov , Riccardo Borsato , Sergey Frolov

We study the boundary integrability problem of the massless sector of $AdS_3 \times S^3 \times T^4 $ string theory. Exploiting the difference-form of the massless scattering theory, we find a very simple and exhaustive list of reflection…

High Energy Physics - Theory · Physics 2024-05-07 Daniele Bielli , Vaibhav Gautam , Vasileios Moustakis , Andrea Prinsloo , Alessandro Torrielli

An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS_5xS^5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik

This review is meant to be an account of the properties of the infinite-dimensional quantum group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral problem. In passing, the chance is taken to give a…

High Energy Physics - Theory · Physics 2011-07-07 Alessandro Torrielli

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

We consider a particular large-radius limit of the worldsheet $S$-matrix for strings propagating on $AdS_5 \times S^5$. This limiting theory interpolates smoothly between the so-called plane-wave and giant-magnon regimes of the theory. The…

High Energy Physics - Theory · Physics 2008-11-26 Juan Maldacena , Ian Swanson

We study the AdS_5 x S^5 sigma-model truncated to the near-flat-space limit to two-loops in perturbation theory. In addition to extending previously known one-loop results to the full SU(2|2)^2 S-matrix we calculate the two-loop correction…

High Energy Physics - Theory · Physics 2008-11-26 T. Klose , T. McLoughlin , J. A. Minahan , K. Zarembo

We first analyse the integrable scattering theory describing the massless excitations of $AdS_2 \times S^2 \times T^6$ superstrings in the relativistic limit. The matrix part of the S-matrix is obtained in the BMN limit from the conjectured…

High Energy Physics - Theory · Physics 2017-10-25 Andrea Fontanella , Alessandro Torrielli

We review the semiclassical analysis of strings in AdS5xS5 with a focus on the relationship to the underlying integrable structures. We discuss the perturbative calculation of energies for strings with large charges, using the folded string…

High Energy Physics - Theory · Physics 2015-05-20 Tristan McLoughlin

The classical spectral curve for the worldsheet theory of the AdS_5 x S^5 lambda superstring is constructed. The lambda string is interpreted as a regularized, non-abelian T dual of the AdS_5 x S^5 superstring with respect to full…

High Energy Physics - Theory · Physics 2020-05-20 Timothy J. Hollowood , J. Luis Miramontes , Dafydd Price