4.8 Article

Quantum Spectral Curve for Planar N=4 Super-Yang-Mills Theory

Journal

PHYSICAL REVIEW LETTERS
Volume 112, Issue 1, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.112.011602

Keywords

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Funding

  1. ANR [BLANC- SIMI- 4-2011]
  2. RFBR [11-02-01220]
  3. ESF [HOLOGRAV-09-RNP-092]
  4. Institut Universitaire de France
  5. ERC [290456]
  6. European Union [317089]
  7. STFC [ST/J002798/1, ST/G000395/1, ST/L000326/1] Funding Source: UKRI
  8. Science and Technology Facilities Council [ST/L000326/1, ST/J002798/1, ST/G000395/1] Funding Source: researchfish

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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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