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The GS superstring on AdS_5 x S^5 has a nonlinearly realized, spontaneously broken SU(2,2|4) symmetry. Here we introduce a two-dimensional model in which the unbroken SU(2,2|4) symmetry is linearly realized. The basic variables are…

High Energy Physics - Theory · Physics 2011-02-09 Piet Claus , Murat Gunaydin , Renata Kallosh , J. Rahmfeld , Yonatan Zunger

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

In this letter a new class of twisted strings is presented, with an asymmetry between the holomorphic and antiholomorphic sectors parametrized by an integer $N$. Their physical content is given by the massless resonances of the closed…

High Energy Physics - Theory · Physics 2022-04-13 Renann Lipinski Jusinskas

We consider three-parameter Yang-Baxter deformations of the $AdS_5\times T^{1,1}$ superstring for abelian $r$-matrices which are solutions of the classical Yang-Baxter equation. We find two new backgrounds which are dual to the dipole…

High Energy Physics - Theory · Physics 2021-03-02 Laura Rado , Victor O. Rivelles , Renato Sánchez

We review the duality and integrability of N=6 superconformal Chern-Simons theory in three dimensions and IIA superstring theory on the background AdS4xCP3. We introduce both of these models and describe how their degrees of freedom are…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Klose

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

Multidimensional Heisenberg algebras, whose creation and annihilation operators are the N-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of their deformations can be investigated using…

Quantum Algebra · Mathematics 2016-11-23 Vladimir D. Lyakhovsky

The concept of spectral curve is generalized to open strings in AdS/CFT with integrability preserving boundary conditions. Our definition is based on the logarithms of the eigenvalues of the open monodromy matrix and makes possible to…

High Energy Physics - Theory · Physics 2015-06-18 Zoltan Bajnok , Minkyoo Kim , Laszlo Palla

We discuss 2d duality transformations in the classical AdS5 x S5 superstring and their effect on the integrable structure. T-duality along four directions in Poincare parametrization of AdS5 maps the bosonic part of the superstring action…

High Energy Physics - Theory · Physics 2008-12-30 Niklas Beisert , Riccardo Ricci , Arkady Tseytlin , Martin Wolf

We examine the surface term for the BRST transformation of the open pure spinor superstring in an AdS_5 x S^5 background. We find that the boundary condition to eliminate the surface term leads to a classification of possible configurations…

High Energy Physics - Theory · Physics 2017-01-04 Sota Hanazawa , Makoto Sakaguchi

We use the string hypothesis for the mirror theory to derive the Thermodynamic Bethe Ansatz equations for the AdS_5 x S^5 mirror model. We further demonstrate how these equations can be used to construct the associated Y-system recently…

High Energy Physics - Theory · Physics 2009-05-29 Gleb Arutyunov , Sergey Frolov

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

Using the recently proposed set of discontinuity relations we translate the AdS/CFT Y-system to TBA integral equations and quantization conditions for a large subset of excited states from the sl(2) sector of the $AdS_5 \times S^5$ string…

High Energy Physics - Theory · Physics 2015-05-27 Janos Balog , Arpad Hegedus

We find a new sector of string theory in AdS_5xS^5 describing non-relativistic superstrings in that geometry. The worldsheet theory of non-relativistic strings in AdS_5xS^5 is derived and shown to reduce to a supersymmetric free field…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Gomis , Joaquim Gomis , Kiyoshi Kamimura

Twisted spectral triples are a twisting of the notion of spectral triple aiming at dealing with some type III geometric situations. In the first part of the paper, we give a geometric construction of the index map of a twisted spectral…

Operator Algebras · Mathematics 2016-06-08 Raphael Ponge , Hang Wang

We study the twisted index of 4d $\mathcal{N}$ = 2 class S theories on a closed hyperbolic 3-manifold $M_3$. Via 6d picture, the index can be written in terms of topological invariants called analytic torsions twisted by irreducible flat…

High Energy Physics - Theory · Physics 2020-03-18 Jin-Beom Bae , Dongmin Gang , Kimyeong Lee

The complicated non-linear sigma model that characterizes the first finite-radius curvature correction to the pp-wave limit of IIB superstring theory on AdS_5 x S^5 has been shown to generate energy spectra that perfectly match, to two…

High Energy Physics - Theory · Physics 2008-11-26 Tristan McLoughlin , Ian Swanson

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

We determine the off-shell symmetry algebra and representations of Type IIB superstring theory on $AdS_3\times S^3 \times T^4$ with mixed R-R and NS-NS three-form flux. We use these to derive the non-perturbative worldsheet S matrix of…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Lloyd , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We discuss the Zamolodchikov-Faddeev algebra for the superstring sigma-model on AdS_5 x S^5. We find the canonical su(2|2)^2 invariant S-matrix satisfying the standard Yang-Baxter and crossing symmetry equations. Its near-plane-wave…

High Energy Physics - Theory · Physics 2010-10-27 Gleb Arutyunov , Sergey Frolov , Marija Zamaklar