Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS

Simone Giombi, Vasily Pestun

Research output: Contribution to journalArticle

32 Scopus citations

Abstract

We study correlation functions of Wilson loops and local operators in a sub-sector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In turn, this can be reduced to computing correlators in certain Gaussian multi-matrix models. We focus on the correlation function of a Wilson loop and two local operators, and solve the corresponding three-matrix model exactly in the planar limit. We compare the strong coupling behavior to string theory in AdS 5 × S 5, finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J∼√λ at strong coupling.

Original languageEnglish (US)
Article number101
JournalJournal of High Energy Physics
Volume2013
Issue number1
DOIs
StatePublished - Feb 8 2013
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Keywords

  • 1/N Expansion
  • AdS-CFT Correspondence
  • Strong Coupling Expansion

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