Duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory

TL;DR

This paper demonstrates the duality invariance of non-anticommutative N=1/2 supersymmetric U(1) gauge theory using a parent action approach, valid at first order in the non-anticommutativity parameter.

Contribution

It introduces a parent action framework to establish duality invariance in non-anticommutative supersymmetric gauge theories, a novel approach in this context.

Findings

Proves duality invariance at tree level

Uses partition function equivalence in phase space

Valid at first order in non-anticommutativity parameter

Abstract

A parent action is introduced to formulate (S-) dual of non-anticommutative N=1\2 supersymmetric U(1) gauge theory. Partition function for parent action in phase space is utilized to establish the equivalence of partition functions of the theories which this parent action produces. Thus, duality invariance of non-anticommutative N=1\2 supersymmetric U(1) gauge theory follows. The results which we obtained are valid at tree level or equivalently at the first order in the nonanticommutativity parameter C_{\mu\nu}.