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Deriving the AdS3×S3× T4 Quantum Spectral Curve II: T-system and QSC

  • Andrea Cavaglià
  • Davide Polvara
  • Nicolò Primi
  • Alessandro Sfondrini
  • Roberto Tateo
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Abstract

We complete the systematic derivation of the Quantum Spectral Curve (QSC) for strings on AdS3×S3× T4 with pure Ramond--Ramond (RR) flux, building on the extended Y-system obtained in our preceding paper. We establish the precise relation between the two formalisms of the Thermodynamic Bethe Ansatz and the QSC, derive the previously conjectured QSC, and, along the way, uncover additional relations satisfied by its solutions. Our analysis also clarifies how massless excitations, although not explicit among the basic QSC building blocks, are encoded in their analytic structure. The derivation culminates in the so-called Pμ-system, a compact formulation of the QSC in terms of a small set of functions and their analytic continuations.

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Cite

BibTeXRIS
BibTeX
@misc{cavaglia2026deriving,
  title = {{Deriving the $\textAdS_3\times\textS^3\times \textT^4$ Quantum Spectral Curve II: T-system and QSC}},
  author = {Andrea Cavaglià and Davide Polvara and Nicolò Primi and Alessandro Sfondrini and Roberto Tateo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.07147},
  eprint = {2610.07147},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.07147},
}
RIS
TY  - UNPB
TI  - Deriving the AdS_3×S^3× T^4 Quantum Spectral Curve II: T-system and QSC
AU  - Andrea Cavaglià
AU  - Davide Polvara
AU  - Nicolò Primi
AU  - Alessandro Sfondrini
AU  - Roberto Tateo
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.07147
UR  - https://arxiv.org/abs/2610.07147
AB  - We complete the systematic derivation of the Quantum Spectral Curve (QSC) for strings on AdS_3×S^3× T^4 with pure Ramond--Ramond (RR) flux, building on the extended Y-system obtained in our preceding paper. We establish the precise relation between the two formalisms of the Thermodynamic Bethe Ansatz and the QSC, derive the previously conjectured QSC, and, along the way, uncover additional relations satisfied by its solutions. Our analysis also clarifies how massless excitations, although not explicit among the basic QSC building blocks, are encoded in their analytic structure. The derivation culminates in the so-called Pμ-system, a compact formulation of the QSC in terms of a small set of functions and their analytic continuations.
ER  -