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arXiv · hep-th/0604058

Calibrated Surfaces and Supersymmetric Wilson Loops

A. Dymarsky·S. Gubser·Z. Guralnik·J. Maldacena
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Abstract

We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an almost complex structure on an eight-dimensional slice of AdS_5 x S^5. The regularized area of these surfaces vanishes, in agreement with field theory non-renormalization theorems for the corresponding operators.

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A. Dymarsky, S. Gubser, Z. Guralnik, J. Maldacena. 2006-04-07. Calibrated Surfaces and Supersymmetric Wilson Loops. https://doi.org/10.1088/1126-6708%2F2006%2F09%2F057

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