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Self-Dual Non-Abelian Vector Multiplet in Three Dimensions

Hitoshi Nishino·Subhash Rajpoot
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Abstract

We present an N=1 supersymmetric non-Abelian compensator formulation for a vector multiplet in three-dimensions. Our total field content is the off-shell vector multiplet (A_μ^I, λ^I) with the off-shell scalar multiplet (ϕ^I, χ^I; F^I) both in the adjoint representation of an arbitrary non-Abelian gauge group. This system is reduced to a supersymmetric sigma-model on a group manifold, in the zero-coupling limit. Based on this result, we formulate a 'self-dual' non-Abelian vector multiplet in three-dimensions. By an appropriate identification of parameters, the mass of the self-dual vector multiplet is quantized. Additionally, we also show that the self-dual non-Abelian vector multiplet can be coupled to supersymmetric Dirac-Born-Infeld action. These results are further reformulated in superspace to get a clear overall picture.

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Hitoshi Nishino, Subhash Rajpoot. 2006-11-06. Self-Dual Non-Abelian Vector Multiplet in Three Dimensions. https://doi.org/10.1103/physrevd.74.105001

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