Supersymmetric Wilson Loops via Integral Forms

Abstract

We study supersymmetric Wilson loops from a geometrical perspective. To this end, we propose a new formulation of these operators in terms of an integral form associated to the immersion of the loop into a supermanifold. This approach provides a unifying description of Wilson loops preserving different sets of supercharges, and clarifies the flow between them. Moreover, it allows to exploit the powerful techniques of super-differential calculus for investigating their symmetries. As remarkable examples, we discuss supersymmetry and kappa-symmetry invariance.

arXiv comment52 pages, no figures, added 1 reference and a sentence in the conclusions

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• On the Geometry of Forms on Supermanifolds
• Chirality, a new key for the definition of the connection and curvature of a Lie-Kac super-algebra
• Surface Operators in Superspace