The full Quantum Spectral Curve for $AdS_4/CFT_3$
Abstract
The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on , 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 case, could be a first step towards the extension of the method to .
Cite
@article{arxiv.1701.00473,
title = {The full Quantum Spectral Curve for $AdS_4/CFT_3$},
author = {Diego Bombardelli and Andrea Cavaglià and Davide Fioravanti and Nikolay Gromov and Roberto Tateo},
journal= {arXiv preprint arXiv:1701.00473},
year = {2018}
}
Comments
43 + 27 pages, 7 figures. v4: text improved, more details and App D included. This is the same as the published version JHEP09(2017)140, with small typos corrected in App E