TY - JOUR

T1 - The full Quantum Spectral Curve for $AdS_4/CFT_3$

AU - Bombardelli, Diego

AU - Cavaglià, Andrea

AU - Fioravanti, Davide

AU - Gromov, Nikolay

AU - Tateo, Roberto

N1 - 41 pages + 5 Appendices, 7 figures. v3: text improved, typos fixed, references added, more details in Appendix A

PY - 2017/9/27

Y1 - 2017/9/27

N2 - The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $AdS_4 \times CP^3$, 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 $AdS_3/CFT_2$.

AB - The spectrum of planar N=6 superconformal Chern-Simons theory, dual to type IIA superstring theory on $AdS_4 \times CP^3$, 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 $AdS_3/CFT_2$.

KW - hep-th

U2 - 10.1007/JHEP09(2017)140

DO - 10.1007/JHEP09(2017)140

M3 - Article

SN - 1126-6708

JO - JHEP

JF - JHEP

ER -