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

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Cited by in corpus (30)

• Supersymmetric Wilson loops on S^3
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Notes on supersymmetric Wilson loops on a two-sphere
• On the D3-brane description of some 1/4 BPS Wilson loops
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
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• On 1/2-BPS Wilson-'t Hooft loops
• Supersymmetric Wilson loops in N=4 SYM and pure spinors
• Wilson Loops, Geometric Transitions and Bubbling Calabi-Yau's
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• Double-helix Wilson loops: case of two angular momenta
• Observations on BPS observables in 6d
• Dressed Wilson Loops on S^2
• Supersymmetric Wilson loops with general contours in ABJM theory
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• M2-doughnuts
• Supersymmetric Wilson Loops in Diverse Dimensions
• Supersymmetric Wilson loops in two dimensions and duality
• BPS surface operators and calibrations
• Global AdS Picture of 1/2 BPS Wilson Loops
• Probe D-branes in Superconformal Field Theories
• Dyonic D3 branes
• Holographic Wilson Loop One-point Functions in ABJM Theory
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory