Non-conformal supercurrents in six dimensions

TL;DR

This paper explores various non-conformal supercurrents in six-dimensional supergravity, detailing their structures, associated multiplets, and extending to an infinite class, including examples in different supersymmetric contexts.

Contribution

It introduces new classes of non-conformal supercurrents in six dimensions, including those with ${ m O}(n)$ multiplets and a non-conformal supercurrent in ${ m N}=(2,0)$ supersymmetry.

Findings

Constructed non-conformal supercurrents with different multiplet compensators.

Derived an infinite class of supercurrents involving ${ m O}(n)$ multiplets.

Presented an example with the relaxed hypermultiplet in supergravity.

Abstract

Non-conformal supercurrents in six dimensions are described, which contain the trace of the energy-momentum tensor and the gamma-trace of the supersymmetry current amongst their component fields. Within the superconformal approach to ${\cal N} = (1, 0)$ supergravity, we present various distinct non-conformal supercurrents, one of which is associated with an ${\cal O}(2)$ (or linear) multiplet compensator, while another with a tensor multiplet compensator. We also derive an infinite class of non-conformal supercurrents involving ${\cal O}(n)$ multiplets with $n > 2$. As an illustrative example we construct the relaxed hypermultiplet in supergravity. Finally, we put forward a non-conformal supercurrent in the ${\cal N} = (2, 0)$ supersymmetric case.