The spectrum of planar N= 6 superconformal Chern-Simons theory, dual to type IIA superstring theory on AdS(4) × CP(3), is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in depth the basic integrability structure underlying the spectral problem, the Quantum Spectral Curve. The new results presented in this paper open the way to the quantitative study of the spectrum for arbitrary operators at finite coupling. Besides, we show that the Quantum Spectral Curve is embedded into a novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and leads to exact Bethe Ansatz equations. The discovery of this algebraic structure, more intricate than the one appearing in the AdS5/CFT4 case, could be a first step towards the extension of the method to AdS(3)/CFT(2).

The full Quantum Spectral Curve for AdS4/CFT3

Bombardelli, Diego;Tateo, Roberto;CAVAGLIA', Andrea
2017-01-01

Abstract

The spectrum of planar N= 6 superconformal Chern-Simons theory, dual to type IIA superstring theory on AdS(4) × CP(3), is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in depth the basic integrability structure underlying the spectral problem, the Quantum Spectral Curve. The new results presented in this paper open the way to the quantitative study of the spectrum for arbitrary operators at finite coupling. Besides, we show that the Quantum Spectral Curve is embedded into a novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and leads to exact Bethe Ansatz equations. The discovery of this algebraic structure, more intricate than the one appearing in the AdS5/CFT4 case, could be a first step towards the extension of the method to AdS(3)/CFT(2).
2017
2017
9
0
70
http://link.springer.com/journal/13130
AdS-CFT Correspondence; Bethe Ansatz; Chern-Simons Theories; Integrable Field Theories; Nuclear and High Energy Physics
Bombardelli, Diego; Cavagliã , Andrea; Fioravanti, Davide; Gromov, Nikolay; Tateo, Roberto
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1657373
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