Two-Field Born-Infeld with Diverse Dualities

TL;DR

This paper systematically constructs two-field Abelian extensions of the Born-Infeld Lagrangian, realizing various duality groups and providing explicit models, some with supersymmetric completions and unique non-analytic features.

Contribution

It introduces a systematic method to build two-field Born-Infeld models with specific duality symmetries and provides explicit examples, including supersymmetric and non-analytic cases.

Findings

Constructed models with U(2), SU(2), and U(1)xU(1) duality groups.

Explicit examples reduce to Born-Infeld when fields are identified.

U(1)xU(1) model admits N=1 supersymmetric completion.

Abstract

We elaborate on how to build, in a systematic fashion, two-field Abelian extensions of the Born-Infeld Lagrangian. These models realize the non-trivial duality groups that are allowed in this case, namely U(2), SU(2) and U(1)xU(1). For each class, we also construct an explicit example. They all involve an overall square root and reduce to the Born-Infeld model if the two fields are identified, but differ in quartic and higher interactions. The U(1)xU(1) and SU(2) examples recover some recent results obtained with different techniques, and we show that the U(1)xU(1) model admits an N=1 supersymmetric completion. The U(2) example includes some unusual terms that are not analytic at the origin of field space.