D=4, N=2 Gauged Supergravity coupled to Vector-Tensor Multiplets

TL;DR

This paper develops a comprehensive 4D N=2 supergravity framework coupled to vector and vector-tensor multiplets, incorporating dualities and gauge symmetries to ensure consistent degrees of freedom counting.

Contribution

It introduces a general construction of N=2 supergravity with vector-tensor couplings, including dual fields and gauge symmetries for the first time.

Findings

Consistent coupling of vector and tensor multiplets in 4D N=2 supergravity.

Implementation of duality relations for scalar and vector fields.

Ensured correct physical degrees of freedom through gauge symmetries.

Abstract

We construct the general four-dimensional N=2 supergravity theory coupled to vector and vector-tensor multiplets only. Consistency of the construction requires the introduction of the vector fields dual to those sitting in the same supermultiplets as the antisymmetric tensors, as well as the scalar fields dual to the tensors themselves. Gauge symmetries also involving these additional fields guarantee the correct counting of the physical degrees of freedom.