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24 April 2024
 
  » arxiv » 1701.0473

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The full Quantum Spectral Curve for $AdS_4/CFT_3$
Diego Bombardelli ; Andrea Cavaglià ; Davide Fioravanti ; Nikolay Gromov ; Roberto Tateo ;
Date 2 Jan 2017
AbstractThe spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $AdS_4 imes CP^3$, 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 $AdS_5/CFT_4$ case, could be a first step towards the extension of the method to $AdS_3/CFT_2$.
Source arXiv, 1701.0473
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