Quantum spectral curve for planar N=4 super-Yang-Mills theory.

  title={Quantum spectral curve for planar N=4 super-Yang-Mills theory.},
  author={Nikolay Gromov and Vladimir Kazakov and S{\'e}bastien Leurent and Dmytro Volin},
  journal={Physical review letters},
  volume={112 1},
We present a new formalism, alternative to the old thermodynamic-Bethe-ansatz-like approach, for solution of the spectral problem of planar N=4 super Yang-Mills theory. It takes a concise form of a nonlinear 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 Bogomol'nyi-Prasad-Sommerfield limit. 
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