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

By N. Gromov, Vladimir Kazakov, S. Leurent, D. Volin. 2014

210 citations recorded by the source corpus.

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 finite set of Baxter-like Q-functions. This new point of view on the finite size spectral problem is shown to be completely compatible, though in a far from trivial way, with already known exact equations (analytic Y-system/TBA, or FiNLIE). We use the knowledge of this underlying Q-system to demonstrate how the classical finite gap solutions and the asymptotic Bethe ansatz emerge from our formalism in appropriate limits.

Subfields: Atomic and Molecular Physics, and Optics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c12ed3cc053e4d6cd5f982524eaae9bf9654c13c

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In Atomic and Molecular Physics, and Optics

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Citations in the corpus

Light-ray operators in conformal field theory (2018, methodology): “In planar N = 4 SYM, beautiful pictures of the (∆, J)-plane have been constructed using integrability [83–86].”