Calibrated Surfaces and Supersymmetric Wilson Loops

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.

28 pages, 2 figures

References in corpus (1)

• Wilson Loops of Anti-symmetric Representation and D5-branes

Cited by in corpus (9)

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• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Supersymmetric Wilson Loops in Diverse Dimensions
• Probe D-branes in Superconformal Field Theories