Auxiliary superfields in N=1 supersymmetric self-dual electrodynamics

TL;DR

This paper develops a general framework for N=1 supersymmetric self-dual abelian gauge theories using auxiliary superfields, enabling the construction of models with higher derivatives while maintaining self-duality.

Contribution

It introduces a novel formulation involving auxiliary chiral superfields to describe N=1 supersymmetric self-dual electrodynamics, including the U(1) case with higher derivatives.

Findings

Presented the most general U(1) invariant auxiliary interaction

Constructed explicit examples of self-dual models

Demonstrated how to generate higher-derivative self-dual theories

Abstract

We construct the general formulation of N=1 supersymmetric self-dual abelian gauge theory involving auxiliary chiral spinor superfields. Self-duality in this context is just U(N) invariance of the nonlinear interaction of the auxiliary superfields. Focusing on the U(1) case, we present the most general form of the U(1) invariant auxiliary interaction, consider a few instructive examples and show how to generate self-dual N=1 models with higher derivatives in this approach.