Non-abelian Born-Infeld and kappa-symmetry

TL;DR

This paper develops a method to extend the Born-Infeld action to non-abelian gauge theories using kappa-symmetry constraints, providing explicit bosonic and fermionic terms up to certain orders.

Contribution

It introduces an iterative procedure for non-abelian Born-Infeld action construction constrained by kappa-symmetry, including explicit terms up to quartic order in field strength.

Findings

Bosonic terms computed up to quartic order in Yang-Mills field strength.

Fermionic bilinear terms calculated up to cubic order in field strength.

Fermionic terms deviate from the symmetric trace prescription at this order.

Abstract

We define an iterative procedure to obtain a non-abelian generalization of the Born-Infeld action. This construction is made possible by the use of the severe restrictions imposed by kappa-symmetry. In this paper we will present all bosonic terms in the action up to terms quartic in the Yang-Mills field strength and all fermion bilinear terms up to terms cubic in the field strength. Already at this order the fermionic terms do not satisfy the symmetric trace-prescription.