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Related papers: Analytic Solution of Bremsstrahlung TBA

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For $SU(N)$ superconformal QCD we perform a three-loop calculation of the generalized cusp anomalous dimension of the BPS Wilson loop operator using HQET formalism. We obtain an expression which is valid at generic geometric and internal…

High Energy Physics - Theory · Physics 2019-05-01 Carolina Gomez , Andrea Mauri , Silvia Penati

We investigate the thermodynamic Bethe ansatz (TBA) equations for a system of particles which dynamically interacts via the scattering matrix of affine Toda field theory and whose statistical interaction is of a general Haldane type. Up to…

High Energy Physics - Theory · Physics 2009-10-31 A. Fring , C. Korff , B. J. Schulz

We study a series of $N\!=\!1$ supersymmetric integrable particle theories in $d=1+1$ dimensions. These theories are represented as integrable perturbations of specific $N\!=\!1$ superconformal field theories. Starting from the conjectured…

High Energy Physics - Theory · Physics 2009-10-28 M. Moriconi , K. Schoutens

We present a unified approach to the Thermodynamic Bethe Ansatz (TBA) for magnetic chains and field theories that includes the finite size (and zero temperature) calculations for lattice BA models. In all cases, the free energy follows by…

High Energy Physics - Theory · Physics 2019-08-15 C. Destri , H. J. de Vega

Recently T. Bridgeland defined a complex hyperk\"ahler metric on the tangent bundle over the space of stability conditions of a triangulated category, based on a Riemann-Hilbert problem determined by the Donaldson-Thomas invariants. This…

High Energy Physics - Theory · Physics 2025-07-14 Sergei Alexandrov , Boris Pioline

The thermodynamic Bethe ansatz (TBA) and the excited state TBA equations for an integrable spin chain related to the Lie superalgebra osp(1|2) are proposed by the quantum transfer matrix (QTM) method. We introduce the fusion hierarchy of…

Mathematical Physics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We introduce an integrable lattice discretization of the quantum system of n bosonic particles on a ring interacting pairwise via repulsive delta potentials. The corresponding (finite-dimensional) spectral problem of the integrable lattice…

Mathematical Physics · Physics 2007-05-23 J. F. van Diejen

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 consider the massive tricritical Ising model M(4,5) perturbed by the thermal operator phi_{1,3} in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical…

High Energy Physics - Theory · Physics 2009-10-31 Paul A. Pearce , Leung Chim , Changrim Ahn

We show that the semiclassical limit of thermodynamic Bethe Ansatz equations naturally reconstructs the algebro-geometric spectra of finite-gap periodic potentials. This correspondence is illustrated using the traveling-wave (snoidal)…

High Energy Physics - Theory · Physics 2026-04-22 Valdemar Melin , Paul Wiegmann , Konstantin Zarembo

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar…

High Energy Physics - Theory · Physics 2018-01-17 Marco S. Bianchi , Andrea Mauri

We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE/IM correspondence, and they can be regarded…

High Energy Physics - Theory · Physics 2019-02-01 Katsushi Ito , Marcos Mariño , Hongfei Shu

We consider the non-unitary Lee-Yang minimal model ${\cal M}(2,5)$ in three different finite geometries: (i) on the interval with integrable boundary conditions labelled by the Kac labels $(r,s)=(1,1),(1,2)$, (ii) on the circle with…

High Energy Physics - Theory · Physics 2017-11-15 Zoltan Bajnok , Omar el Deeb , Paul A. Pearce

A Bethe ansatz equation associated with the Lie superalgebra osp(1|2s) is studied. A thermodynamic Bethe ansatz (TBA) equation is derived by the string hypothesis. The high temperature limit of the entropy density is expressed in terms of…

Statistical Mechanics · Physics 2011-04-26 Zengo Tsuboi

We propose TBA integral equations for 1-particle states in the O(n) non-linear sigma-model for even n. The equations are conjectured on the basis of the analytic properties of the large volume asymptotics of the problem, which is explicitly…

High Energy Physics - Theory · Physics 2009-11-11 J. Balog , A. Hegedus

In these proceedings we review the results of [1-3]. We show on the example of the SU(2) chiral-field how to reproduce the classical finite gap solutions for a large class of integrable sigma models from their exact quantum solutions. These…

High Energy Physics - Theory · Physics 2011-04-11 Nikolay Gromov , Vladimir Kazakov , Pedro Vieira

We present new quasi-exactly solvable models with inverse quartic, sextic, octic and decatic power potentials, respectively. We solve these models exactly via the functional Bethe ansatz method. For each case, we give closed-form solutions…

Mathematical Physics · Physics 2013-01-15 Davids Agboola , Yao-Zhong Zhang

We conjecture the set of asymptotic Bethe Ansatz equations for the {\it mirror} model of the $\text{AdS}_4\times\mathbb{CP}^3$ string theory, corresponding to the planar $\mathcal{N}=6$ superconformal Chern-Simons gauge theory in three…

High Energy Physics - Theory · Physics 2010-05-12 Diego Bombardelli , Davide Fioravanti , Roberto Tateo

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

It has been recently realized that, in the case of polynomial potentials, the exact WKB method can be reformulated in terms of a system of TBA equations. In this paper we study this method in various examples. We develop a graphical…

High Energy Physics - Theory · Physics 2021-08-18 Yoan Emery