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We find explicit expressions for two first finite size corrections to the distribution of Bethe roots, the asymptotics of energy and high conserved charges in the sl(2) quantum Heisenberg spin chain of length J in the thermodynamical limit…

High Energy Physics - Theory · Physics 2009-11-11 Nikolay Gromov , Vladimir Kazakov

We study finite size effects for composite operators in the SU(2) sector of the superconformal beta-deformed N=4 SYM theory. In particular we concentrate on the spectrum of one single magnon. Since in this theory one-impurity states are non…

High Energy Physics - Theory · Physics 2008-11-26 F. Fiamberti , A. Santambrogio , C. Sieg , D. Zanon

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 use S-duality and planarity to propose an argument for the non-renormalization of the dispersion relation of giant magnon solutions in type IIB string theory on AdS_5 x S^5. We compute the spectrum of giant magnons for (p,q)-strings from…

High Energy Physics - Theory · Physics 2014-06-16 David Berenstein , Diego Trancanelli

Via an appropriate field redefinition of the fermions, we find a set of conditions under which light cone gauge fixed world sheet theories of strings on two different backgrounds are related by a double Wick rotation. These conditions take…

High Energy Physics - Theory · Physics 2015-06-19 Gleb Arutyunov , Stijn J. van Tongeren

We consider the supermultiplet of linearized beta-deformation of $\mathcal{N}=4$ Super Yang-Mills(SYM). It was previously studied on the gravitational side. We study the supermultiplet of beta-deformations on the field theory side and we…

High Energy Physics - Theory · Physics 2017-10-04 Segundo P. Milián

We present the TBA equations and the Y-system for the exact spectrum of general multi-magnon local operators in the $D$-dimensional anisotropic version of the bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of…

High Energy Physics - Theory · Physics 2020-09-02 Benjamin Basso , Gwenaël Ferrando , Vladimir Kazakov , De-liang Zhong

Anderson localization has been studied extensively for more than half a century. However, while our understanding has been greatly enhanced by calculations based on a small epsilon expansion in d = 2 + epsilon dimensions in the framework of…

Disordered Systems and Neural Networks · Physics 2015-06-12 P. M. Ostrovsky , T. Nakayama , K. A. Muttalib , P. Wölfle

We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x S(1) or M(4)=T(4). String theory in this background is interesting because of AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa…

High Energy Physics - Theory · Physics 2017-08-23 Nitin Rughoonauth , Per Sundin , Linus Wulff

We analyze several aspects of the recent construction of three-dimensional conformal gauge theories by Aharony et al. in various regimes. We pay special attention to understanding how the M-theory geometry and interpretation can be…

High Energy Physics - Theory · Physics 2009-02-23 David Berenstein , Diego Trancanelli

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

It has been shown that, in the infinite length limit, the magnons of the gauge theory spin chain can form bound states carrying one finite and one strictly infinite R-charge. These bound states have been argued to be associated to simple…

High Energy Physics - Theory · Physics 2010-10-27 Radu Roiban

We compute sigma model solutions for rigidly rotating open strings suspended between giant gravitons in general LLM geometries. These solutions are confined to the LLM plane. These all have a dispersion relation for $\Delta-J$ that is…

High Energy Physics - Theory · Physics 2021-02-03 David Berenstein , Adolfo Holguin

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

We elaborate on the treatment of orbifolds of type IIB string theory on $AdS_5\times S^5$ and their dual gauge theories with integrability techniques. The implementation of orbifolds via twisted spin-chains, thermodynamic Bethe Ansatz…

High Energy Physics - Theory · Physics 2023-09-18 Torben Skrzypek

The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open strings, where the metric is undeformed AdS$_5\times$S$^5$ with constant string…

High Energy Physics - Theory · Physics 2017-05-31 Thiago Araujo , Ilya Bakhmatov , Eoin Ó Colgáin , Jun-ichi Sakamoto , Mohammad M. Sheikh-Jabbari , Kentaroh Yoshida

We calculate the one loop beta function for the would-be marginal coupling on the world sheet of the k deformed sigma models associated to a quantum group with q=exp(i pi/k). This includes the bosonic principal chiral models and symmetric…

High Energy Physics - Theory · Physics 2016-01-20 Calan Appadu , Timothy J. Hollowood

The simplest example of the $\lambda$-deformation connects the SU(2) Wess-Zumino-Witten model with the non-Abelian T-dual (NATD) of the SU(2) principal chiral model. We analyze spinning strings with one spin propagating through the…

High Energy Physics - Theory · Physics 2023-05-12 Rafael Hernandez , Roberto Ruiz , Konstantinos Sfetsos

We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS_5 x S^5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference…

High Energy Physics - Theory · Physics 2014-11-20 Sergey Frolov , Ryo Suzuki

We consider the $Y$-systems satisfied by the $A_1^{(1)}$, $A_2^{(1)}$, $A_2^{(2)}$ vertex and loop models at roots of unity with twisted boundary conditions on the cylinder. The vertex models are the 6-, 15- and Izergin-Korepin 19-vertex…

Mathematical Physics · Physics 2021-02-25 Alexi Morin-Duchesne , Andreas Klümper , Paul A. Pearce