Supersymmetric Wilson loops via integral forms

Abstract

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.

Keywords

• Superspaces
• Supersymmetric Gauge Theory
• Wilson
• ’t Hooft and Polyakov loops