4.5 Article

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

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 1, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP01(2013)101

Keywords

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

Funding

  1. Aspen Center for Physics
  2. NSF [1066293]
  3. Perimeter Institute for Theoretical Physics
  4. Institute for Advanced Study
  5. NFS [PHY-0969448]
  6. MSERF [14.740.11.0081]
  7. NSh [3349.2012.2]
  8. RFBR [10-02-00499]
  9. Direct For Mathematical & Physical Scien [969448] Funding Source: National Science Foundation
  10. Division Of Physics [969448] Funding Source: National Science Foundation

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We study correlation functions of Wilson loops and local operators in a 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) x S-5, finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J at strong coupling behavior to string theory in Ads(5) X S-5,S- finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J similar to root lambda at strong coupling.

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