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arXiv · 1207.7083

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

Simone Giombi·Vasily Pestun
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Abstract

We study correlation functions of Wilson loops and local operators in a subsector 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_5xS^5, finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J \sim sqrt{lambda} at strong coupling.

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Simone Giombi, Vasily Pestun. 2012-07-30. Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS. https://doi.org/10.1007/jhep01(2013)101

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