Abstract
We study correlation functions of Wilson loops and local operators in a sub-sector of \( \mathcal{N}=4 \) 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 \( J\sim \sqrt{\lambda } \) at strong coupling.
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ArXiv ePrint: 1207.7083
On leave of absence from ITEP, 117218, Moscow, Russia. (Vasily Pestun)
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Giombi, S., Pestun, V. Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS. J. High Energ. Phys. 2013, 101 (2013). https://doi.org/10.1007/JHEP01(2013)101
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DOI: https://doi.org/10.1007/JHEP01(2013)101