Supersymmetric Wilson loops in N=4 SYM and pure spinors

Abstract

We study supersymmetric Wilson loop operators in four-dimensional N=4 super Yang-Mills theory. We show that the contour of a supersymmetric Wilson loop is either an orbit of some conformal transformation of the space-time (case I), or an arbitrary contour in the subspace where local superalgebra generator is a pure spinor (case II). In the more interesting case II we find and classify all pairs (Q,W) of the supercharges and the corresponding operators modulo the action of the global symmetry group.

46 pages

References in corpus (9)

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• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Localization and AdS/CFT Correspondence
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Chern-Simons theory from M5-branes and calibrated M2-branes
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• Observations on BPS observables in 6d
• Impure Aspects of Supersymmetric Wilson Loops
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• M2-doughnuts
• Classifying BPS bosonic Wilson loops in 3d $\mathcal{N}=4$ Chern-Simons-matter theories
• Supersymmetric Wilson Loops via Integral Forms
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• More on 't Hooft loops in N=4 SYM
• Wilson Loops and Integrability
• Four twisted differential operators for the N=4 superconformal algebra
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$