Deriving the AdS₃\timesS³× T⁴ Quantum Spectral Curve I: Y-system and discontinuity relations

2026/07/15 by Andrea Cavaglià, Davide Polvara, Nicolò Primi +2
#hep-th #nlin.SI

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Abstract

The mirror Thermodynamic Bethe Ansatz (TBA) describes the spectrum of AdS₃\timesS³× T⁴ superstrings supported by a mixture of Ramond-Ramond (RR) and Neveu-Schwarz-Neveu-Schwarz (NSNS) flux. In recent years, a conjecture was put forward regarding the Quantum Spectral Curve (QSC) formulation in the Ramond-Ramond case. In this paper, we initiate the derivation of the Ramond-Ramond QSC from the mirror TBA equations. We describe the Y-system underlying the TBA and its discontinuity relations for pure-RR backgrounds. This provides the foundation for the derivation of the T-system and the Quantum Spectral Curve, which will be presented in a follow-up paper.

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