The N=2 vector-tensor multiplet, central charge superspace, and Chern-Simons couplings

TL;DR

This paper offers a geometric interpretation of the N=2 vector-tensor multiplet using central charge superspace, enabling natural inclusion of Chern-Simons couplings and a supersymmetric Green-Schwarz anomaly cancellation mechanism.

Contribution

It introduces a new geometric framework for the vector-tensor multiplet in central charge superspace, facilitating supersymmetric Chern-Simons couplings and anomaly cancellation.

Findings

Geometric description of the vector-tensor multiplet in superspace

Inclusion of Chern-Simons couplings in a supersymmetric context

Realization of Green-Schwarz anomaly cancellation mechanism

Abstract

We present a new, alternative interpretation of the vector-tensor multiplet as a 2-form in central charge superspace. This approach provides a geometric description of the (non-trivial) central charge transformations ab initio and is naturally generalized to include couplings of Chern-Simons forms to the antisymmetric tensor gauge field, giving rise to a N=2 supersymmetric version of the Green-Schwarz anomaly cancellation mechanism.