Correlators of local operators and 1/8 BPS Wilson loops on S2 from 2d ym and matrix models

Simone Giombi, Vasily Pestun

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75 Scopus citations


We propose that, in N = 4 Super Yang-Mills theory, correlation functions of certain 1/8 BPS Wilson loops and local operators inserted on a S2 in space-time may be computed in terms of analogous observables in the "zero-instanton" sector of 2d Yang-Mills theory. The Wilson loops are mapped to the standard Wilson loops of the 2d theory, as recently conjectured, while the local operators are mapped to powers of the 2d field strength. We give several perturbative checks of the correspondence, and derive from 2d Yang-Mills a two-matrix model for the correlator of a local operator and a Wilson loop of arbitrary shape. We show that the strong coupling planar limit of the two-matrix model precisely agrees with a string theory calculation in AdS5 × S5.

Original languageEnglish (US)
Article number33
JournalJournal of High Energy Physics
Issue number10
StatePublished - 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • 1/N expansion
  • AdS-CFT correspondence
  • Duality in gauge field theories
  • Strong coupling expansion


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