Quantum spectral curve at work: from small spin to strong coupling in N=4 SYM

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Abstract

We apply the recently proposed quantum spectral curve technique to the study of twist operators in planar N = 4 SYM theory. We focus on the small spin expansion of anomalous dimensions in the sl(2) sector and compute its first two orders exactly for any value of the 't Hooft coupling. At leading order in the spin S we reproduced Basso's slope function. The next term of order S-2 structurally resembles the Beisert-Eden-Staudacher dressing phase and takes into account wrapping contributions. This expansion contains rich information about the spectrum of local operators at strong coupling. In particular, we found a new coefficient in the strong coupling expansion of the Konishi operator dimension and confirmed several previously known terms. We also obtained several new orders of the strong coupling expansion of the BFKL, pomeron intercept. As a by-product we formulated a prescription for the correct analytical continuation in S which opens a way for deriving the BFKL regime of twist two anomalous dimensions from AdS/CFT integrability.

Original languageEnglish
Article number156
Number of pages53
JournalJournal of High Energy Physics
Volume2014
Issue number7
DOIs
Publication statusPublished - 31 Jul 2014

Keywords

  • Strong Coupling Expansion
  • Integrable Field Theories
  • Supersymmetric gauge theory
  • AdS-CFT Correspondence
  • YANG-MILLS THEORY
  • ADS/CFT INTEGRABILITY
  • ANOMALOUS DIMENSIONS
  • GAUGE-THEORY
  • HARMONIC POLYLOGARITHMS
  • WRAPPING INTERACTIONS
  • MELLIN TRANSFORMS
  • WILSON OPERATORS
  • Y-SYSTEM
  • STRINGS

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