Two-Field Born-Infeld with Diverse Dualities

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.

30 pages. Final version with reference added, typo corrected and comment added in the Conclusions. To appear in a special Nucl. Phys. B issue dedicated to the memory of Raymond Stora

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• ALP Constraints in Gauged $\mathcal{N}=2$ Supergravity
• Constraining D-foam via the 21-cm Line