Thermodynamic Bethe ansatz for planar AdS/CFT: a proposal

By D. Bombardelli, D. Fioravanti, R. Tateo. 2009

408 citations recorded by the source corpus.

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 AdS5/CFT4 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.

Subfields: Condensed Matter Physics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0aeae507f0956a5188d5db83184ec68fee0e03d1

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Citations in the corpus

Five-loop anomalous dimension of twist-two operators (2009, background): “There has been recently a lot of progress in this direction [25]-[29] and ultimately the Y-system [30] and the TBA equations for the ground state [31]-[33] have been formulated.”
Five loop Konishi from AdS/CFT (2009, background): “The corrections to the Asymptotic Bethe Ansatz can be identified with wrapping corrections [30], and the leading Lüscher corrections for single [31] and multiparticle states [32] have been derived for this (nonrelativistic) theory.”
On three-point correlation functions in the gauge/gravity duality (2010, methodology): “In recent years there have been great progresses in nding the spectrum of this theory, in the planar limit and for any value of the coupling constant, using integrability [1]{[ 13 ].”
Towards integrability for AdS 3 / CFT 2 ?> (2014, methodology): “Then, the mirror TBA equations (or equivalently, the “Y system”) were worked out [112–118].”
Strings on semisymmetric superspaces (2010, methodology): “The finite-volume TBA/Y-system solution is now also available [51–56].”
The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, background): “In particular it would be important to understand the mirror Thermodynamical Bethe Ansatz and Quantum Spectral Curve for these backgrounds [73–81].”
On correlation functions of operators dual to classical spinning string states (2010, background): “anomalous dimensions of operators), being very close to an explicit solution [14, 15, 16].”
The quark anti-quark potential and the cusp anomalous dimension from a TBA equation (2012, background): “They look very similar to the bulk TBA equations [34, 36, 42], except that the boundary conditions for large u are different.”
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model (2009, methodology): “The simplified form of the TBA equations we obtained in section 4 does not appear in [51, 52].”
Integrable Wilson loops (2012, positive): “The resulting BTBA equations are therefore the same as for the closed spin–chains [65, 66, 67] with the following modifications:”
Extended Y-system for the AdS5/CFT4 correspondence (2010, methodology): “The latter constraint was first imposed in [31,58] and used to infer the equivalence between the TBA equations in [30,32,53] and [59] with those in [31] and [58], respectively (see also the related discussion in [43], and the end of Appendix G).”
T-systems and Y-systems in integrable systems (2010, methodology): “A candidate for such a Y-system has been proposed in [196, 197, 198] based on the ground state TBA equation associated with the asymptotic Bethe ansatz (ABA) equation [199, 195, 200] in the mirror form [201].”