Superloop Space

Abstract

In this paper will construct and analyse the superloop space formulation of a $\mathcal{N}=1$ supergauge theory in three dimensions. We will obtain expressions for the connection and the curvature in this superloop space in terms of ordinary supergauge fields. This curvature will vanish, unless there is a monopole in the spacetime. We will also construct a quantity which will give the monopole charge in this formalism. Finally, we will show how these results even hold for a deformed superspace.

10 pages, 0 figures, accepted for publication in EPL

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Cited by in corpus (5)

• Topological Defects in a Deformed Gauge Theory
• Monopoles in Superloop Space
• Supersymmetric Duality in Deformed Superloop Space
• Polyakov Loops for the ABJ Theory
• Dualized Gravity beyond Linear Approximation