String hypothesis for the AdS5 × S5 mirror

By G. Arutyunov, S. Frolov. 2009

180 citations recorded by the source corpus.

We discuss the states which contribute in the thermodynamic limit of the mirror theory, the latter is obtained from the light-cone gauge-fixed string theory in the AdS_5 x S^5 background by the double-Wick rotation. We analyze the Bethe-Yang equations for the mirror theory and formulate the string hypothesis. We show that in the thermodynamic limit solutions of the Bethe-Yang equations arrange themselves into Bethe string configurations similar to the ones appearing in the Hubbard model. We also derive a set of equations describing the bound states and the Bethe string configurations of the mirror theory

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2562d75e8d83b449fd72a4ad5fb64d10fbcc268b

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Citations in the corpus

Foundations of the AdS5 × S5 superstring: I (2009, background): “Recently two interesting conjectures has been made: one concerns the classification of states contributing in the thermodynamic limit of the mirror theory [49], another formulates the so-called Y-system [50, 51] which is supposed to encode the finite-size string spectrum [52].”
Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “If the theory admits bound states, the S matrix that scatters those should also be determined to have a complete handle on the spectrum, in particular to compute the wrapping effects [110, 112].”
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].”
Thermodynamic Bethe Ansatz for the AdS_5 x S^5 Mirror Model (2009, background): “This constitutes the string hypothesis for the AdS5 × S(5) mirror theory [36] and offers an unequivocal way to obtain the corresponding TBA equations.”
Extended Y-system for the AdS5/CFT4 correspondence (2010, methodology): “The relationship between the Hubbard variables [41,42] and u is [29]:”