Thermodynamic Bethe Ansatz for planar AdS/CFT: a proposal
Diego Bombardelli, Davide Fioravanti, Roberto Tateo
TL;DR
This paper derives the thermodynamic Bethe Ansatz equations for the spectrum of planar AdS/CFT, confirming the Y-system structure and extending the understanding of integrable models in string theory.
Contribution
It proposes a derivation of TBA equations for planar AdS/CFT and confirms the associated Y-system structure, advancing the integrability framework in string theory.
Findings
Derived TBA equations for AdS/CFT spectrum
Confirmed the Y-system structure for pseudoenergies
Extended integrability methods in string theory
Abstract
Moving from the mirror theory Bethe-Yang equations proposed by Arutyunov and Frolov, we derive the thermodynamic Bethe Ansatz equations which should control the spectrum of the planar correspondence. The associated set of universal functional relations (Y-system) satisfied by the exponentials of the TBA pseudoenergies is deduced, confirming the structure inferred by Gromov, Kazakov and Vieira.
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