An action for the (2,0) self-dual tensor multiplet in a conformal supergravity background

TL;DR

This paper formulates an action for a self-dual tensor in six dimensions within a (2,0) conformal supergravity background, clarifying gauge symmetries and supersymmetry algebra realization.

Contribution

It introduces a new action for the (2,0) self-dual tensor multiplet coupled to conformal supergravity, with insights into gauge symmetry and supersymmetry structure.

Findings

Derives the equations of motion consistent with the action

Provides a clearer understanding of gauge symmetry role

Clarifies supersymmetry transformation rules

Abstract

We present the action for a self-dual tensor in six dimensions, coupled to a (2,0) conformal supergravity background. This action gives rise to the expected equations of motion. An alternative look upon one of the gauge symmetries clarifies its role in the supersymmetry transformation rules and the realisation of the algebra.