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Quantum Spectral Curve for AdS(3)/CFT2: a proposal

Cavaglia, A., Gromov, N., Stefanski, B. & Torrielli, A. (2021). Quantum Spectral Curve for AdS(3)/CFT2: a proposal. Journal of High Energy Physics(12), 48. doi: 10.1007/JHEP12(2021)048

Abstract

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.

Publication Type: Article
Additional Information: This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Publisher Keywords: AdS-CFT Correspondence, Bethe Ansatz, Integrable Field Theories, Conformal Field Theory
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
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