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

Andrea Cavaglià; Nikolay Gromov; Bogdan Stefański; Alessandro Torrielli

doi:10.1007/JHEP12(2021)048

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 journal › Article › peer-review

28 Citations (Scopus)

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.

Original language	English
Article number	48
Journal	Journal of High Energy Physics
Volume	2021
Issue number	12
Early online date	9 Dec 2021
DOIs	https://doi.org/10.1007/JHEP12(2021)048
Publication status	Published - Dec 2021

Keywords

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

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10.1007/JHEP12(2021)048

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title = "Quantum Spectral Curve for AdS 3/CFT 2: a proposal",

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.",

keywords = "AdS-CFT Correspondence, Bethe Ansatz, Conformal Field Theory, Integrable Field Theories",

author = "Andrea Cavagli{\`a} and Nikolay Gromov and Bogdan Stefa{\'n}ski and Alessandro Torrielli",

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doi = "10.1007/JHEP12(2021)048",

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T1 - Quantum Spectral Curve for AdS 3/CFT 2

T2 - a proposal

AU - Cavaglià, Andrea

AU - Gromov, Nikolay

AU - Stefański, Bogdan

AU - Torrielli, Alessandro

PY - 2021/12

Y1 - 2021/12

N2 - 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.

AB - 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.

KW - AdS-CFT Correspondence

KW - Bethe Ansatz

KW - Conformal Field Theory

KW - Integrable Field Theories

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DO - 10.1007/JHEP12(2021)048

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 12

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ER -

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

Abstract

Keywords

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