The anomalous current multiplet in 6D minimal supersymmetry

TL;DR

This paper develops a superform formulation for a deformed linear multiplet in 6D supersymmetry, capturing chiral anomalies and computing the associated gauge anomaly effective action.

Contribution

It introduces a novel superform approach to describe chiral anomalies in 6D minimal supersymmetry, extending the linear multiplet framework.

Findings

Superform formulation for deformed linear multiplet

Explicit computation of gauge anomaly effective action

Extension of anomaly descriptions in 6D supersymmetric theories

Abstract

For supersymmetric gauge theories with eight supercharges in four, five and six dimensions, a conserved current belongs to the linear multiplet. In the case of six-dimensional $\cal N=(1,0)$ Poincar\'e supersymmetry, we present a consistent deformation of the linear multiplet which describes chiral anomalies. This is achieved by developing a superform formulation for the deformed linear multiplet. In the abelian case, we compute a nonlocal effective action generating the gauge anomaly.