theoretical physics

Deriving the $AdS_{3} \times S^{3} \times T^{4}$ Quantum Spectral Curve I: Y-system and discontinuity relations

arXiv:2607.13673

summary

The paper derives the Y-system and its discontinuity relations for the pure‑Ramond‑Ramond AdS₃×S³×T⁴ superstring from the mirror Thermodynamic Bethe Ansatz, laying groundwork for a Quantum Spectral Curve formulation.

Abstract

The mirror Thermodynamic Bethe Ansatz (TBA) describes the spectrum of $AdS_{3} \times S^{3} \times T^{4}$ 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.

68 pages, 6 figures. v2: Typos corrected

Topics & keywords

#ads/cft correspondence #integrable systems #thermodynamic bethe ansatz #quantum spectral curve #y-system #string theoryAdS3×S3×T4Ramond-Ramond fluxmirror TBAY-systemdiscontinuity relationsQuantum Spectral Curve

Deriving the AdS3​×S3×T4 Quantum Spectral Curve I: Y-system and discontinuity relations

Abstract

Topics & keywords

Deriving the $AdS_{3} \times S^{3} \times T^{4}$ Quantum Spectral Curve I: Y-system and discontinuity relations