Quantum Spectral Curve for AdS 3/CFT 2: a proposal

Andrea Cavaglià*, Nikolay Gromov, Bogdan Stefański, Alessandro Torrielli

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

17 Citations (Scopus)


We conjecture the Quantum Spectral Curve equations for string theory on AdS3× S3× T4 with RR charge and its CFT2 dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the Asymptotic Bethe Ansatz equations for the massive sector of the theory, including the exact dressing phases found in the literature. The structure of the QSC shares many similarities with the previously known AdS5 and AdS4 cases, but contains a critical new feature — the branch cuts are no longer quadratic. Nevertheless, we show that much of the QSC analysis can be suitably generalised producing a self-consistent system of equations. While further tests are necessary, particularly outside the massive sector, the simplicity and self-consistency of our construction suggests the completeness of the QSC.

Original languageEnglish
Article number48
JournalJournal of High Energy Physics
Issue number12
Early online date9 Dec 2021
Publication statusPublished - Dec 2021


  • AdS-CFT Correspondence
  • Bethe Ansatz
  • Conformal Field Theory
  • Integrable Field Theories


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