Component reduction in N=2 supergravity: the vector, tensor, and vector-tensor multiplets

TL;DR

This paper develops methods for efficiently deriving component actions in N=2 supergravity involving vector and tensor multiplets, using superspace techniques to simplify complex multiplet analyses.

Contribution

It introduces a streamlined approach for component reduction in N=2 supergravity models with vector and tensor multiplets, utilizing superspace and projective superspace formalisms.

Findings

Component actions can be derived more efficiently using superspace methods.

Tensor multiplets coupled to conformal supergravity are formulated naturally in projective superspace.

The inverse procedure simplifies the analysis of complex multiplets like the vector-tensor multiplet.

Abstract

Recent advances in curved N=2 superspace methods have rendered the component reduction of superspace actions more feasible than in the past. In this paper, we consider models involving both vector and tensor multiplets coupled to supergravity and demonstrate explicitly how component actions may be efficiently obtained. In addition, tensor multiplets coupled to conformal supergravity are considered directly within projective superspace, where their formulation is most natural. We then demonstrate how the inverse procedure -- the lifting of component results to superspace -- can simplify the analysis of complicated multiplets. We address the off-shell N=2 vector-tensor multiplet coupled to conformal supergravity with a central charge and demonstrate explicitly how its constraints and Lagrangian can be written in a simpler way using superfields.