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arxiv: 1407.3119 · v1 · pith:OWLGXT7Ynew · submitted 2014-07-11 · ✦ hep-th

Monopoles in Superloop Space

classification ✦ hep-th
keywords willsuperloopspacecurvaturebianchiconnectionexpressioninfinite-dimensional
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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.

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