C-map for Born-Infeld theories

TL;DR

This paper explores the c-map in four-dimensional non-linear electromagnetism theories, examining their coupling to gravity, supersymmetry relations, and covariance properties in multifield extensions.

Contribution

It introduces new non-linear theories with antisymmetric tensors and scalars, and demonstrates their covariance and supersymmetry properties.

Findings

Derived theories with antisymmetric tensors and scalars.

Showed partial breaking of N=2 to N=1 supersymmetry.

Established covariance in multifield extensions.

Abstract

The c-map of four dimensional non-linear theories of electromagnetism is considered both in the rigid case and in its coupling to gravity. In this way theories with antisymmetric tensors and scalars are obtained, and the three non-linear representations of N=2 supersymmetry partially broken to N=1 related. The manifest $\mathrm{Sp}(2n)$ and $\mathrm{U}(n)$ covariance of these theories in their multifield extensions is also exhibited.