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Related papers: On deformations of AdS_n x S^n supercosets

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We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS_5 x S^5. This contraction limit turns out to be equivalent to a previously studied limit…

High Energy Physics - Theory · Physics 2016-01-26 Anna Pachol , Stijn J. van Tongeren

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 study the integrable $\eta$ and $\lambda$-deformations of supercoset string sigma models, the basic example being the deformation of the $AdS_5 \times S^5$ superstring. We prove that the kappa symmetry variations for these models are of…

High Energy Physics - Theory · Physics 2016-11-03 Riccardo Borsato , Linus Wulff

We consider two integrable deformations of 2d sigma models on supercosets associated with AdS_n x S^n. The first, the "eta-deformation" (based on the Yang-Baxter sigma model), is a one-parameter generalization of the standard superstring…

High Energy Physics - Theory · Physics 2015-12-14 B. Hoare , A. A. Tseytlin

Starting with the F/G supercoset model corresponding to the AdS_n x S^n superstring one can define the lambda-model of arXiv:1409.1538 either as a deformation of the F/F gauged WZW model or as an integrable one-parameter generalization of…

High Energy Physics - Theory · Physics 2016-05-06 R. Borsato , A. A. Tseytlin , L. Wulff

The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a…

High Energy Physics - Theory · Physics 2015-06-22 Timothy J. Hollowood , J. Luis Miramontes , David M. Schmidtt

We consider various integrable two-parameter deformations of the $AdS_3 \times S^3 \times T^4$ superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their…

High Energy Physics - Theory · Physics 2021-10-04 Fiona K. Seibold , Stijn J. van Tongeren , Yannik Zimmermann

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

The eta-deformation of the AdS_5 x S^5 superstring depends on a non-split r matrix for the superalgebra psu(2,2|4). Much of the investigation into this model has considered one particular choice, however there are a number of inequivalent…

High Energy Physics - Theory · Physics 2016-12-21 Ben Hoare , Stijn J. van Tongeren

We derive the part of the Lagrangian for the sigma model on the eta-deformed AdS_5 x S^5 space which is quadratic in fermions and has the full dependence on bosons. We then show that there exists a field redefinition which brings the…

High Energy Physics - Theory · Physics 2016-05-10 Gleb Arutyunov , Riccardo Borsato , Sergey Frolov

Using the pure spinor formalism, a quantizable sigma model has been constructed for the superstring in an AdS_5 x S^5 background with manifest PSU(2,2|4) invariance. The PSU(2,2|4) metric g_{AB} has both vector components g_{ab} and spinor…

High Energy Physics - Theory · Physics 2008-11-26 Nathan Berkovits

In this paper, considering the correspondence between spin chains and string sigma models, we explore the rotating string solutions over $ \eta $ deformed $ AdS_5 \times S^{5} $ in the so called fast spinning limit. In our analysis, we…

High Energy Physics - Theory · Physics 2018-02-13 Aritra Banerjee , Arpan Bhattacharyya , Dibakar Roychowdhury

We consider type IIB supergravity backgrounds corresponding to the deformed AdS_n x S^n supercoset string models of the type constructed in arXiv:1309.5850 which depend on one deformation parameter \k. In AdS_2 x S^2 case we find that the…

High Energy Physics - Theory · Physics 2016-01-26 O. Lunin , R. Roiban , A. A. Tseytlin

With a motivation to find a 2-d Lorentz-invariant solution of the AdS_5 x S^5 superstring we continue the study of the Pohlmeyer-reduced form of this theory. The reduced theory is constructed from currents of the superstring sigma model and…

High Energy Physics - Theory · Physics 2010-05-12 B. Hoare , 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

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

For supercosets with isometry group of the form $\hat{G} \times \hat{G}$, the eta-deformation can be generalised to a two-parameter integrable deformation with independent $q$-deformations of the two copies. We study its kappa-symmetry and…

High Energy Physics - Theory · Physics 2019-10-23 Fiona K. Seibold

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

In this paper we study quantum group deformations of the infinite dimensional symmetry algebra of asymptotically AdS spacetimes in three dimensions. Building on previous results in the finite dimensional subalgebras we classify all possible…

High Energy Physics - Theory · Physics 2021-12-01 A. Borowiec , J. Kowalski-Glikman , J. Unger

We construct a two-parameter deformation of the Metsaev-Tseytlin action for supercosets with isometry group of the form G x G. The resulting action is classically integrable and is Poisson-Lie symmetric suggesting that the symmetry of the…

High Energy Physics - Theory · Physics 2015-05-20 Ben Hoare
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