N=2 Born-Infeld Attractors

TL;DR

This paper constructs new multi-field Born-Infeld actions in four-dimensional N=2 supersymmetric theories, extending previous single-field models by incorporating special geometry and specific charge configurations.

Contribution

It introduces novel N=2 Born-Infeld actions for multiple U(1) gauge fields based on special geometry and Fayet-Iliopoulos parameters, generalizing known single-field models.

Findings

Derived new multi-field Born-Infeld actions from N=2 special geometry.

Identified conditions for residual N=1 supersymmetry preservation.

Connected the actions to quadratic Maxwell field expressions.

Abstract

We derive new types of $U(1)^n$ Born-Infeld actions based on N=2 special geometry in four dimensions. As in the single vector multiplet (n=1) case, the non--linear actions originate, in a particular limit, from quadratic expressions in the Maxwell fields. The dynamics is encoded in a set of coefficients $d_{ABC}$ related to the third derivative of the holomorphic prepotential and in an SU(2) triplet of N=2 Fayet-Iliopoulos charges, which must be suitably chosen to preserve a residual N=1 supersymmetry.