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We calculate the S-matrix in the gauge-fixed sigma-model on AdS_5 x S^5 to the leading order in perturbation theory, and analyze how supersymmetry is realized on the scattering states. A mild nonlocality of the supercharges implies that…

High Energy Physics - Theory · Physics 2010-10-27 Thomas Klose , Tristan McLoughlin , Radu Roiban , Konstantin Zarembo

The one-dimensional Heisenberg XXX spin chain appears in a special limit of the AdS/CFT integrable system. We review various ways of proving its integrability, and discuss the associated methods of solution. In particular, we outline the…

High Energy Physics - Theory · Physics 2015-05-20 Matthias Staudacher

Particle production in integrable field theories may exist depending on the vacuum around which excitations are defined. To tackle this and analogous issues with conventional field theoretical tools, we consider the integrable…

High Energy Physics - Theory · Physics 2023-02-15 George Georgiou , Konstantinos Sfetsos

The worldsheet S matrix of strings on the $AdS_3\times S^3\times T^4$ background is almost entirely fixed by symmetries, up to five functions -- the dressing factors. These must satisfy several consistency conditions, in particular a set of…

High Energy Physics - Theory · Physics 2022-05-18 Sergey Frolov , Alessandro Sfondrini

The integrability-based solution of string theories related to AdS(n)/CFT(n-1) dualities relies on the worldsheet S matrix. Using generalized unitarity we construct the terms with logarithmic dependence on external momenta at one- and…

High Energy Physics - Theory · Physics 2014-05-28 Oluf Tang Engelund , Ryan W. McKeown , Radu Roiban

We study the hybrid formulation of Green-Schwarz superstrings on AdS_3 with NS flux and the boundary N=4 superconformal algebra. We show the equivalence between the NSR and GS superstrings by a field redefinition. The boundary N=4…

High Energy Physics - Theory · Physics 2009-10-31 Katsushi Ito

We analyze in detail the relation between an exactly marginal deformation of N=4 SYM - the Leigh-Strassler or ``beta-deformation'' - and its string theory dual (recently constructed in hep-th/0502086) by comparing energies of semiclassical…

High Energy Physics - Theory · Physics 2010-04-06 S. A. Frolov , R. Roiban , A. A. Tseytlin

Fluxbrane-like backgrounds obtained from flat space by a sequence of T-dualities and shifts of polar coordinates (beta deformations) provide an interesting class of exactly solvable string theories. We compute the one-loop partition…

High Energy Physics - Theory · Physics 2009-11-11 Marcus Spradlin , Tadashi Takayanagi , Anastasia Volovich

We study worldsheet scattering for the type IIA superstring in AdS(2) x S(2) x T(6). Using the Green--Schwarz action to quartic order in fermions we take the near-BMN limit, where as in the AdS(3)/CFT(2) case there are both massive and…

High Energy Physics - Theory · Physics 2013-10-16 Michael C. Abbott , Jeff Murugan , Per Sundin , Linus Wulff

We consider the action of the $q$-deformed Poincar\'e superalgebra on the massless non-relativistic R-matrix in ordinary (undeformed) integrable $AdS_2 \times S^2 \times T^6$ type IIB superstring theory. The boost generator acts…

High Energy Physics - Theory · Physics 2022-10-12 Andrea Fontanella , Alessandro Torrielli

We investigate N-point string scattering amplitudes in AdS_3 space. Based on recent observations on the solutions of KZ and BPZ-type differential equations, we discuss how to describe the string theory in AdS_3 as a marginal deformation of…

High Energy Physics - Theory · Physics 2008-11-26 Gaston Giribet

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

Using unitarity methods, we compute, for several massive two-dimensional models, the cut-constructible part of the one-loop 2->2 scattering S-matrices from the tree-level amplitudes. We apply our method to various integrable theories,…

High Energy Physics - Theory · Physics 2015-06-15 Lorenzo Bianchi , Valentina Forini , Ben Hoare

The tree-level S-matrix of type II supergravity can be computed in scattering equation form by correlators in a worldsheet theory analogous to a chiral, infinite tension limit of the pure spinor formalism. By defining a non-minimal version…

High Energy Physics - Theory · Physics 2015-06-01 Tim Adamo , Eduardo Casali

We employ the free field realisation of the $\mathfrak{psu}(1,1|2)_1$ world-sheet theory to constrain the correlators of string theory on ${\rm AdS}_3\times {\rm S}^3\times \mathbb{T}^4$ with unit NS-NS flux. In particular, we directly…

High Energy Physics - Theory · Physics 2021-02-15 Andrea Dei , Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton

We study the proposed integrable spin chain formulation of Jordanian deformations of the $AdS_5\times S^5$ superstring, realised via Drinfel'd twists. Among these models, we first identify a unique supergravity deformation confined to an…

High Energy Physics - Theory · Physics 2025-11-19 Sibylle Driezen , Adrien Molines

We propose a novel string theory propagating in a non-commutative deformation of the four dimensional space T* T^2 whose scattering states correspond to superconformal theories in 5 dimensions and the scattering amplitudes compute…

High Energy Physics - Theory · Physics 2012-09-13 Cumrun Vafa

We introduce and study conformal field theories specified by $W-$algebras commuting with certain set of screening charges. These CFT's possess perturbations which define integrable QFT's. We establish that these QFT's have local and…

High Energy Physics - Theory · Physics 2018-12-26 V. A. Fateev , A. V. Litvinov

In this paper we establish a connection between segmented strings propagating in $AdS_{d+1}$ and $CFT_d$ subsystems in Minkowski spacetime characterized by quantum information theoretic quantities calculated for the vacuum state. We show…

High Energy Physics - Theory · Physics 2023-11-27 Bercel Boldis , Péter Lévay

We study the semiclassical decay of macroscopic spinning strings in AdS_5 x S^5 through spontaneous splitting of the folded string worldsheet. Based on similar considerations in flat space this decay channel is expected to dominate the full…

High Energy Physics - Theory · Physics 2008-11-26 Kasper Peeters , Jan Plefka , Marija Zamaklar