Quantum spectral curve for AdS_5/CFT_4

Authors:
  • NGNikolay Gromov
    Nikolay Gromov
  • VKVladimir Kazakov
    Vladimir Kazakov
  • SLSebastien Leurent
    Sebastien Leurent
  • DVDmytro Volin
    Dmytro Volin
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Abstract
We present a new formalism, alternative to the old TBA-like approach, for solution of the spectral problem of planar N = 4 SYM. It takes a concise form of a non-linear matrix Riemann-Hilbert problem in terms of a few Q-functions. We demonstrate the formalism for two types of observables - local operators at weak coupling and cusped Wilson lines in a near BPS limit.