# Quantum spectral curve for arbitrary state/operator in AdS5/CFT4

@article{Gromov2015QuantumSC,
title={Quantum spectral curve for arbitrary state/operator in AdS5/CFT4},
author={N. Gromov and V. Kazakov and S. Leurent and D. Volin},
journal={Journal of High Energy Physics},
year={2015},
volume={2015},
pages={1-107}
}
• N. Gromov, +1 author D. Volin
• Published 2015
• Physics, Mathematics
• Journal of High Energy Physics
• A bstractWe give a derivation of quantum spectral curve (QSC) — a finite set of Riemann-Hilbert equations for exact spectrum of planar N=4$$\mathcal{N}=4$$ SYM theory proposed in our recent paper Phys. Rev. Lett.112 (2014). We also generalize this construction to all local single trace operators of the theory, in contrast to the TBA-like approaches worked out only for a limited class of states. We reveal a rich algebraic and analytic structure of the QSC in terms of a so called Q-system — a… CONTINUE READING