Monopoles in Superloop Space

Abstract

In this paper, we will analyse a four dimensional gauge theory with $\mathcal{N}=1$ supersymmetry in superloop space formalism. We will thus obtain an expression for the connection in the infinite-dimensional superloop space. We will then use this connection to obtain an expression for the curvature of the infinite-dimensional superloop space. We will also show that this curvature is proportional to the Bianchi identity in spacetime. Thus, in absence of a monopole this curvature will vanish. However, it will not vanish if the superloop intersects the world-line of a monopole because the Bianchi will not hold at that point.

9 pages, 0 figures, accepted for publication in EPL

References in corpus (4)

• Notes on Supersymmetry Enhancement of ABJM Theory
• Monopoles, three-algebras and ABJM theories with $\mathbb{N}=5,6,8$ supersymmetry
• On Effective Action of Multiple M5-branes and ABJM Action
• KK6 from M2 in ABJM

Cited by in corpus (1)

• Topological Defects in a Deformed Gauge Theory