N=1 and N=2 supersymmetric non-abelian Born-Infeld actions from superspace

TL;DR

This paper constructs new non-abelian supersymmetric Born-Infeld actions in N=1 and N=2 superspace, providing all-order formulations based on simple supersymmetric and gauge-covariant constraints.

Contribution

It introduces the first all-order non-abelian supersymmetric Born-Infeld actions using superspace and non-linear constraints, advancing the understanding of supersymmetric gauge theories.

Findings

Explicit N=1 and N=2 supersymmetric actions derived

Actions are governed by simple non-linear constraints

The formulations are valid to all orders in gauge superfield strength

Abstract

New non-abelian supersymmetric generalizations of the four-dimensional Born-Infeld action are constructed in N=1 and N=2 superspace, to all orders in the gauge superfield strength. The proposed actions are dictated by simple (manifestly supersymmetric and gauge-covariant) non-linear constraints.