Quantum Spectral Curve for PlanarN=4Super-Yang-Mills Theory

2013/05/29 by Nikolay Gromov, Vladimir Kazakov, Sébastien Leurent +2 · 323 citations
Physics and Astronomy · #Bethe ansatz #Black Holes and Theoretical Physics #Computer science #Formalism (music) #Integrable system #Mathematical physics #Observable #Particle physics theoretical and experimental studies #Physics #Planar #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #hep-th

paper · pdf · doi:10.1103/physrevlett.112.011602

published in Physical Review Letters 112(1), 011602 (American Physical Society) · 4 pages, 2 figures; some typos corrected in v2

arxiv created 2013/05/29 · openalex publication_date 2014/01/07 · arxiv updated 2014/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/08

Abstract

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.

Citations

• Exact Spectrum of PlanarN=4Supersymmetric Yang-Mills Theory: Konishi Dimension at Any Coupling
• The Bajnok-Janik formula and wrapping corrections
• Process of European integration
• Extended Y-system for the AdS5/CFT4 correspondence
• An exact formula for the radiation of a moving quark in N = 4 super Yang Mills
• Wronskian solution for AdS/CFT Y-system
• Konishi operator at intermediate coupling

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