English
Related papers

Related papers: Exploring the mirror TBA

200 papers

The thermodynamic Bethe Ansatz equations arising in the context of the $AdS_5/CFT_4$ correspondence exhibit an important difference with respect to their analogues in relativistic integrable quantum field theories: their solutions (the Y…

High Energy Physics - Theory · Physics 2011-03-03 Andrea Cavaglià , Davide Fioravanti , Massimo Mattelliano , Roberto Tateo

We discuss an integrable model of string on AdS$_3$xS$^3$xT$^4$ in a thermodynamical bath. We show that scattering of the excitations above equilibrium states has some novel features. Thermodynamics points to interesting deformation of the…

High Energy Physics - Theory · Physics 2022-06-29 Jacek Pawelczyk

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

We introduce a new tool, the Deformed TBA (Deformed Thermodynamic Bethe Ansatz), to analyze the monodromy problem of the cubic oscillator. The Deformed TBA is a system of five coupled nonlinear integral equations, which in a particular case…

Classical Analysis and ODEs · Mathematics 2010-10-29 Davide Masoero

This article reviews the application of integrability to the spectral problem of strings on AdS_5 x S^5 and its deformations. We begin with a pedagogical introduction to integrable field theories culminating in the description of their…

High Energy Physics - Theory · Physics 2015-01-13 Stijn J. van Tongeren

In this letter, we derive analytically the scaling dimension of the Konishi operator in planar N=4 gauge theory at strong coupling from the asymptotic Bethe equations. The first two leading terms agree with the recent string computation and…

High Energy Physics - Theory · Physics 2015-05-13 Adam Rej , Fabian Spill

We study the thermodynamic behaviour of Inozemtsev's long-range elliptic spin chain using the Bethe ansatz equations describing the spectrum of the model in the infinite-length limit. We classify all solutions of these equations in that…

Mathematical Physics · Physics 2016-04-12 Rob Klabbers

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are…

High Energy Physics - Theory · Physics 2015-06-04 Andrea Cavaglià , Martina Cornagliotto , Massimo Mattelliano , Roberto Tateo

We consider one particularly interesting class of composite gauge-invariant operators in N=4 super Yang-Mills theory. An exceptional feature of these operators is that in the Thermodynamic Bethe Ansatz approach the one-loop rapidities of…

High Energy Physics - Theory · Physics 2015-06-05 Gleb Arutyunov , Sergey Frolov , Alessandro Sfondrini

We write down the simplified TBA equations of the $AdS_5 \times S^5$ string sigma-model for minimal energy twist-two operators in the sl(2) sector of the model. By using the linearized version of these TBA equations it is shown that the…

High Energy Physics - Theory · Physics 2010-12-01 Janos Balog , Arpad Hegedus

We consider superstrings on the pure-Ramond-Ramond $AdS_3\times S^3\times T^4$ background. Using the recently-proposed dressing factors for the worldsheet S matrix, we formulate the string hypothesis for the mirror Bethe-Yang equations, and…

High Energy Physics - Theory · Physics 2022-04-13 Sergey Frolov , Alessandro Sfondrini

In the last several years, the Casimir energy for a variety of 1+1-dimensional integrable models has been determined from the exact S-matrix. It is shown here how to modify the boundary conditions to project out the lowest-energy state,…

High Energy Physics - Theory · Physics 2009-10-22 Paul Fendley

The excited state thermodynamic Bethe ansatz (TBA) equations for the spinless Fermion model are presented by the quantum transfer matrix (QTM) approach. We introduce a more general family called T-functions and explore functional relations…

Statistical Mechanics · Physics 2012-09-27 Kazumitsu Sakai

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

A class of marginal deformations of four-dimensional N=4 super Yang-Mills theory has been found to correspond to a set of smooth, multiparameter deformations of the S^5 target subspace in the holographic dual on AdS_5 x S^5. We present here…

High Energy Physics - Theory · Physics 2009-11-11 Tristan McLoughlin , Ian Swanson

We investigate the low-temperature phase diagram of the exactly solved su(4) two-leg spin ladder as a function of the rung coupling $J_{\perp}$ and magnetic field $H$ by means of the thermodynamic Bethe Ansatz (TBA). In the absence of a…

Statistical Mechanics · Physics 2009-11-10 M. T. Batchelor , X. -W. Guan , A. Foerster , H. -Q. Zhou

We present a conjecture for the exact expression of finite volume expectation values in excited states in integrable quantum field theories, which is an extension of an earlier conjecture to the case of general diagonal factorized…

High Energy Physics - Theory · Physics 2015-06-23 B. Pozsgay , I. M. Szecsenyi , G. Takacs

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising…

High Energy Physics - Theory · Physics 2011-02-11 R. M. Ellem , V. V. Bazhanov

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 thermodynamics of the dissipative two-state system is calculated exactly for all temperatures and level asymmetries for the case of Ohmic dissipation. We exploit the equivalence of the two-state system to the anisotropic Kondo model and…

Strongly Correlated Electrons · Physics 2009-10-31 T. A. Costi , G. Zarand