Extended supersymmetry with gauged central charge

TL;DR

This paper formulates N=2 supersymmetry with gauged central charge in superspace, identifying the gauge connection as a vector multiplet and analyzing the Bogomol'nyi bound for massive states.

Contribution

It introduces a superspace formulation of gauged central charge in N=2 supersymmetry and characterizes the gauge connection as a vector multiplet.

Findings

The gauge connection of the central charge is a N=2 vector multiplet.

Constraints and Bianchi identities are solved to establish the structure.

The Bogomol'nyi bound for massive particles is analyzed.

Abstract

Global N=2 supersymmetry in four dimensions with a gauged central charge is formulated in superspace. To find an irreducible representation of supersymmetry for the gauge connections a set of constraints is given. Then the Bianchi identities are solved subject to this set of constraints. It is shown that the gauge connection of the central charge is a N=2 vector multiplet. Moreover the Bogomol'nyi bound of the massive particle states is studied.