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We investigate the structure of the quantum S-matrix for perturbative excitations of the Pohlmeyer reduced version of the AdS_5 x S^5 superstring following arXiv:0912.2958. The reduced theory is a fermionic extension of a gauged WZW model…

High Energy Physics - Theory · Physics 2015-03-19 B. Hoare , A. A. Tseytlin

We consider the Pohlmeyer-reduced formulation of the AdS_5 x S^5 superstring. It is constructed by introducing new variables which are algebraically related to supercoset current components so that the Virasoro conditions are automatically…

High Energy Physics - Theory · Physics 2009-09-28 B. Hoare , Y. Iwashita , A. A. Tseytlin

We consider the Pohlmeyer-type reduced theory found by explicitly solving the Virasoro constraints in the formulation of AdS_5xS^5 superstring in terms of supercoset currents. The resulting set of classically equivalent, integrable…

High Energy Physics - Theory · Physics 2009-04-30 R. Roiban , A. A. Tseytlin

Motivated by a desire to find a useful 2d Lorentz-invariant reformulation of the AdS_5 x S^5 superstring world-sheet theory in terms of physical degrees of freedom we construct the Pohlmeyer-reduced version of the corresponding sigma model.…

High Energy Physics - Theory · Physics 2008-11-26 M. Grigoriev , A. A. Tseytlin

We review the Pohlmeyer reduction procedure of the superstring sigma model on AdS_n x S^n leading to a gauged WZW model with an integrable potential coupled to 2d fermions. In particular, we consider the case of the Green-Schwarz…

High Energy Physics - Theory · Physics 2008-11-26 M. Grigoriev , A. A. Tseytlin

The Pohlmeyer reduced equations for strings moving only in the AdS subspace of AdS_5 x S^5 have been used recently in the study of classical Euclidean minimal surfaces for Wilson loops and some semiclassical three-point correlation…

High Energy Physics - Theory · Physics 2012-12-05 B. Hoare , A. A. Tseytlin

Pohlmeyer reduction of AdS_5 x S^5 superstring leads to a set of equations of motion following from an action containing a bosonic Sp(2,2) x Sp(4)/[SU(2)]^4 gauged WZW term, an integrable potential and a fermionic part coupling bosons from…

High Energy Physics - Theory · Physics 2013-05-29 Y. Iwashita , R. Roiban , A. A. Tseytlin

We consider superstring theory on AdS_3 x S^3 x T^4 supported by a combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q). This theory interpolates between the pure RR flux model (q=0) whose spectrum is expected to…

High Energy Physics - Theory · Physics 2018-04-09 B. Hoare , A. A. Tseytlin

We discuss semiclassical expansions around a class of classical string configurations lying in AdS_3 x S^1 using the Pohlmeyer-reduced from of the AdS_5 x S^5 superstring theory. The Pohlmeyer reduction of the AdS_5 x S^5 superstring theory…

High Energy Physics - Theory · Physics 2014-11-21 Yukinori Iwashita

In this thesis we investigate quantum aspects of the Green-Schwarz superstring in various AdS backgrounds relevant for the AdS/CFT correspondence, providing several examples of perturbative computations in the corresponding integrable…

High Energy Physics - Theory · Physics 2017-02-15 Lorenzo Bianchi

As was observed by Grigoriev and Tseytlin, the Pohlmeyer-reduced AdS_2 x S^2 superstring theory possesses N=(2,2) worldsheet supersymmetry. We show, at the classical level, that the AdS_3 x S^3 and AdS_5 x S^5 superstring theories in the…

High Energy Physics - Theory · Physics 2011-11-17 M. Goykhman , E. Ivanov

Motivated by the desire to relate Bethe ansatz equations for anomalous dimensions found on the gauge theory side of the AdS/CFT correspondence to superstring theory on AdS_5 x S5 we explore a connection between the asymptotic S-matrix that…

High Energy Physics - Theory · Physics 2016-09-06 R. Roiban , A. Tirziu , A. A. Tseytlin

A set of four factorizable non-relativistic S-matrices for a multiplet of fundamental particles are defined based on the R-matrix of the quantum group deformation of the centrally extended superalgebra su(2|2). The S-matrices are a function…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

High Energy Physics - Theory · Physics 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

We construct a relativistic scattering theory based on a q deformation and large string tension limit of the magnon S-matrix of the string world sheet theory in AdS_5 x S^5. The S-matrix falls naturally into a previously studied class…

High Energy Physics - Theory · Physics 2012-01-18 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We discuss fermionic reductions of type IIA superstrings on AdS4 x CP3 in relation to the conjectured AdS4/CFT3 duality. The superstring theory is described by means of a coset model construction, which is classically integrable. We discuss…

High Energy Physics - Theory · Physics 2009-08-28 Marcin Dukalski , Stijn J. van Tongeren

We consider classical superstrings propagating on AdS_5 x S^5 space-time. We consistently truncate the superstring equations of motion to the so-called su(1|1) sector. By fixing the uniform gauge we show that physical excitations in this…

High Energy Physics - Theory · Physics 2009-11-11 L. F. Alday , G. Arutyunov , S. Frolov

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free field theory.…

High Energy Physics - Theory · Physics 2012-08-27 Curtis G. Callan, , Hok Kong Lee , Tristan McLoughlin , John H. Schwarz , Ian Swanson , Xinkai Wu

The investigation of the q deformation of the S-matrix for excitations on the string world sheet in AdS5 x S5 is continued. We argue that due to the lack of Lorentz invariance the situation is more subtle than in a relativistic theory in…

High Energy Physics - Theory · Physics 2012-12-05 Ben Hoare , Timothy J. Hollowood , J. Luis Miramontes

We study the extended supersymmetric integrable hierarchy underlying the Pohlmeyer reduction of superstring sigma models on semi-symmetric superspaces F/G. This integrable hierarchy is constructed by coupling two copies of the homogeneous…

High Energy Physics - Theory · Physics 2011-03-18 David M. Schmidtt
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