Exact 1/4 BPS Loop - Chiral Primary Correlator

Details Exact 1/4 BPS Loop - Chiral Primary Correlator Exact 1/4 BPS Loop - Chiral Primary Correlator

2006-09-22

arxiv.org/abs/hep-th/0609158v2

Phys.Lett.B643:195-204,2006

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 4 figures, a few minor typos corrected

Scientific paper

10.1016/j.physletb.2006.10.047

Correlation functions of 1/4 BPS Wilson loops with the infinite family of 1/2 BPS chiral primary operators are computed in $\mathcal{N}=4$ super Yang-Mills theory by summing planar ladder diagrams. Leading loop corrections to the sum are shown to vanish. The correlation functions are also computed in the strong-coupling limit by examining the supergravity dual of the loop-loop correlator. The strong coupling result is found to agree with the extrapolation of the planar ladders. The result is related to known correlators of 1/2 BPS Wilson loops and 1/2 BPS chiral primaries by a simple re-scaling of the coupling constant, similar to an observation of Drukker, hep-th/0605151, for the case of the 1/4 BPS loop vacuum expectation value.

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