Superloop Space

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.Comment: 10 pages, 0 figures, accepted for publication in EP

Aspects of ABJ Theory

In this paper we will analyse the deformation of a ABJ theory in harmonic superspace. So, we will first discuss deformations of the harmonic superspace by a graviphoton background and then study the ABJ theory in this deformed harmonic superspace. This deformed ABJ theory will be shown to posses $\mathcal{N} =6$ supersymmetry. We also discuss the BRST symmetry of this theory.Comment: 9 pages, 0 figures, accepted for publication in JHE