Quantum spectral curve for planar N=4 super-Yang-Mills theory.
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.
Mathematics Department, King's College London, The Strand, London WC2R 2LS, United Kingdom, and St. Petersburg INP, Gatchina, St. Petersburg, Russia.
Nikolay
N
Gromov
LPT, École Normale Superieure, 24, Rue Lhomond 75005 Paris, France, and Université Paris-VI, Place Jussieu, 75005 Paris, France.
Vladimir
V
Kazakov
Imperial College, London SW7 2AZ, United Kingdom.
Sébastien
S
Leurent
Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden.
Dmytro
D
Volin