On the non-abelian Born-Infeld action

TL;DR

This paper examines the non-abelian generalization of the Born-Infeld action, addressing discrepancies with string theory at higher orders and discussing potential fermionic extensions.

Contribution

It proposes corrections to Tseytlin's symmetrized trace proposal at order F^6 and explores the inclusion of quadratic fermionic terms.

Findings

Discrepancy between symmetrized trace and string theory at order F^6 corrected.

Discussion on possible quadratic fermionic terms.

Insights into non-abelian Born-Infeld action structure.

Abstract

We discuss some aspects of the generalization of the Born-Infeld action to non-abelian gauge groups and show how the discrepancy between Tseytlin's symmetrized trace proposal and string theory can be corrected at order $F^6$. We also comment on the possible quadratic order fermionic terms.