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We employ the analytic Bethe Anzats to construct eigenvalues of transfer matrices with finite-dimensional atypical representations in the auxiliary space for the putative long-range spin chain encoding anomalous dimensions of all composite…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky

We present a study of the Drude weight $D(T)$ of the spin-1/2 $XXZ$ chain in the gapless regime. The thermodynamic Bethe ansatz (TBA) is applied in two different ways. In the first application we employ the particle basis of magnons and…

Strongly Correlated Electrons · Physics 2015-06-25 J. Benz , T. Fukui , A. Klümper , C. Scheeren

This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related…

Statistical Mechanics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We study the Thermodynamic Bethe Ansatz (TBA) equations for pure $T\bar{T}$ perturbations of some simple integrable quantum field theories with a single bosonic or fermionic particle, in particular the massive sinh-Gordon model and its…

High Energy Physics - Theory · Physics 2022-09-14 André LeClair

We determine the S-matrix that describes scattering of arbitrary bound states in the light-cone string theory in AdS5 x S5. The corresponding construction relies on the Yangian symmetry and the superspace formalism for the bound state…

High Energy Physics - Theory · Physics 2011-08-25 Gleb Arutyunov , Marius de Leeuw , Alessandro Torrielli

We further study integrable deformations of the AdS$_5\times$S$^5$ superstring by following the Yang-Baxter sigma model approach with classical $r$-matrices satisfying the classical Yang-Baxter equation (CYBE). Deformed string backgrounds…

High Energy Physics - Theory · Physics 2014-12-12 Takuya Matsumoto , Kentaroh Yoshida

We propose a bosonic string dual to large $N$ chiral Yang-Mills in two dimensions at finite 't Hooft coupling. The worldsheet theory is a $\beta$-$\gamma$ system deformed by a chiral Polchinski-Strominger term. We reproduce the partition…

High Energy Physics - Theory · Physics 2025-12-22 Shota Komatsu , Pronobesh Maity

Consequences of a strong version of the AdS/CFT correspondence for extremely stringy physics are examined. In particular, properties of N = 4 supersymmetric Yang-Mills theory are used to extract results about interacting tensionless strings…

High Energy Physics - Theory · Physics 2009-11-07 Bo Sundborg

In AdS5/CFT4 integrability the Bethe ansatz gives the spectrum of long strings, accurate up to exponentially small corrections. This is no longer true in AdS3, as we demonstrate here by studying Luscher F-terms with a massless particle…

High Energy Physics - Theory · Physics 2016-06-01 Michael C. Abbott , Inês Aniceto

We compute perturbative worldsheet S-matrix of beta-deformed AdS/CFT in the strong and weak `t Hooft coupling limit to compare with exact S-matrix. For the purpose we take near BMN limit of TsT-transformed AdS_5 x S^5 with the twisted…

High Energy Physics - Theory · Physics 2015-06-12 Changrim Ahn , Minkyoo Kim , Bum-Hoon Lee

A large class of the recently found unimodular nonabelian homogeneous Yang-Baxter deformations of the AdS_5 x S^5 superstring can be realized as sequences of noncommuting TsT transformations. I show that many of them are duals to various…

High Energy Physics - Theory · Physics 2017-06-06 Stijn J. van Tongeren

We study solutions of the Thermodynamic Bethe Ansatz equations for relativistic theories defined by the factorizable $S$-matrix of an integrable QFT deformed by CDD factors. Such $S$-matrices appear under generalized TTbar deformations of…

High Energy Physics - Theory · Physics 2021-11-30 Giancarlo Camilo , Thiago Fleury , Máté Lencsés , Stefano Negro , Alexander Zamolodchikov

We use relativistic invariance to investigate two aspects of integrable AdS${}_3$ string theory. Firstly, we write down the all-loop TBA equations for the massless sector of the theory with R-R flux, using the recently discovered hidden…

High Energy Physics - Theory · Physics 2019-09-04 Andrea Fontanella , Olof Ohlsson Sax , Bogdan Stefański , jr. , Alessandro Torrielli

We study the spectrum of the scaling Lee-Yang model on a finite interval from two points of view: via a generalisation of the truncated conformal space approach to systems with boundaries, and via the boundary thermodynamic Bethe ansatz.…

High Energy Physics - Theory · Physics 2009-10-30 Patrick Dorey , Andrew Pocklington , Roberto Tateo , Gerard Watts

The AdS/CFT correspondence of elementary string theory has been recently suggested as a ``microscopic'' approach to QCD string theory in various dimensions. We use the microscopic theory to show that the ultraviolet regime on the string…

High Energy Physics - Theory · Physics 2009-10-31 Petr Horava

We use the AdS/CFT correspondence to study the thermodynamics of massive N=2 supersymmetric hypermultiplets coupled to N=4 supersymmetric SU(Nc) Yang-Mills theory in the limits of large Nc and large 't Hooft coupling. In particular, we…

High Energy Physics - Theory · Physics 2009-11-18 Andreas Karch , Andy O'Bannon

In this note, we discuss the low and high temperature contribution of Thermodynamic Bethe Ansatz (TBA) dressed excitations in the thermodynamics and energy-magnetization relaxation within the Generalized Hydrodynamics approach in the linear…

Statistical Mechanics · Physics 2020-01-06 A. Pavlis , X. Zotos

This PhD thesis explores the similarities between integrable spin chains and quantum field theories, such as Super Yang Mills. We first study integrable spin chains and build explicitly a polynomial "Backlund flow" and polynomial…

High Energy Physics - Theory · Physics 2015-03-20 Sebastien Leurent

We present an ``algebraic treatment'' of the analytical Bethe ansatz for open spin chains with soliton non preserving (SNP) boundary conditions. For this purpose, we introduce abstract monodromy and transfer matrices which provide an…

Mathematical Physics · Physics 2009-11-11 D. Arnaudon , N. Crampe , A. Doikou , L. Frappat , E. Ragoucy

Recently Kazakov, Vieira and the author conjectured the Y-system set of equations describing the planar spectrum of AdS/CFT. In this paper we solve the Y-system equations in the strong coupling scaling limit. We show that the…

High Energy Physics - Theory · Physics 2011-02-18 Nikolay Gromov