Gauge and Non-Gauge Tensor Multiplets in 5D Conformal Supergravity

TL;DR

This paper develops off-shell formulations for two types of tensor multiplets in 5D conformal supergravity, distinguishing their gauge properties and component field structures.

Contribution

It introduces explicit off-shell superconformal tensor calculus formulations for massive and gauge tensor multiplets in five dimensions.

Findings

Massive tensor multiplet has 16 bosonic and 16 fermionic components.

Tensor gauge multiplet has 8 bosonic and 8 fermionic components.

Both multiplets contain a rank 2 antisymmetric tensor field, with differing gauge symmetries.

Abstract

An off-shell formulation of two distinct tensor multiplets,a massive tensor multiplet and a tensor gauge multiplet, is presented in superconformal tensor calculus in five-dimensional space-time. Both contain a rank 2 antisymmetric tensor field, but there is no gauge symmetry in the former, while it is a gauge field in the latter. Both multiplets commonly have 4 bosonic and 4 fermionic {\em on-shell} modes, but the former consists of 16(boson)+16(fermion) component fields while the latter consists of 8(boson)+8(fermion) component fields.