Supersymmetic Extension of the Non-Abelian Scalar-Tensor Duality

TL;DR

This paper extends non-Abelian scalar-tensor duality to supersymmetric theories, showing that the dual sigma model's target space becomes a complex coset space, enriching the understanding of dualities in supersymmetric field theories.

Contribution

It introduces a supersymmetric extension of the non-Abelian scalar-tensor duality, revealing the target space as a complex coset, which was not previously established.

Findings

Supersymmetric duality relates Freedman-Townsend model to a complex coset sigma model.

Target space of the sigma model is a complex coset GC/HC.

Extension broadens the understanding of dualities in supersymmetric gauge theories.

Abstract

The field theory dual to the Freedman-Townsend model of a non-Abelian anti-symmetric tensor field is a nonlinear sigma model on the group manifold G. This can be extended to the duality between the Freedman-Townsend model coupled to Yang-Mills fields and a nonlinear sigma model on a coset space G/H. We present the supersymmetric extension of this duality, and find that the target space of this nonlinear sigma model is a complex coset space, GC/HC.