Vector-Tensor multiplet in N=2 superspace with central charge

TL;DR

This paper presents a geometric construction of the Abelian vector-tensor multiplet in N=2 superspace with central charge, deriving supersymmetry transformations and superfield actions.

Contribution

It introduces a novel geometric framework for the vector-tensor multiplet in N=2 superspace with central charge, including explicit superfield and component actions.

Findings

Derived supersymmetry and central charge transformations.

Constructed superfield and component actions.

Showed higher components are total derivatives.

Abstract

We use the four-dimensional N=2 central charge superspace to give a geometrical construction of the Abelian vector-tensor multiplet consisting, under N=1 supersymmetry, of one vector and one linear multiplet. We derive the component field supersymmetry and central charge transformations, and show that there is a super-Lagrangian, the higher components of which are all total derivatives, allowing us to construct superfield and component actions.