Antisymmetric Wilson loops in N= 4 SYM: from exact results to non-planar corrections

Anthonny F. Canazas Garay, Alberto Faraggi, Wolfgang Mück

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)


We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N= 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed ’t Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

Original languageEnglish
Article number149
JournalJournal of High Energy Physics
Issue number8
Publication statusPublished - 1 Aug 2018


  • 1/N Expansion
  • AdS-CFT Correspondence
  • Matrix Models
  • Wilson, ’t Hooft and Polyakov loops

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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