New higher derivative action for tensor multiplet in N=2 conformal supergravity in four dimensions

TL;DR

This paper develops a new higher derivative action for the tensor multiplet in four-dimensional N=2 conformal supergravity using a novel covariant superform approach and an embedding of the tensor multiplet into a real scalar multiplet.

Contribution

It introduces a new density formula based on a fermionic multiplet and constructs a higher derivative tensor multiplet action in N=2 conformal supergravity.

Findings

New density formula for N=2 conformal supergravity

Embedding of tensor multiplet into real scalar multiplet

Construction of a higher derivative tensor multiplet action

Abstract

We will use the covariant superform approach to develop a new density formula for $\mathcal{N}=2$ conformal supergravity which is based on a fermionic multiplet whose lowest component is a dimension-5/2 spinor. We will show that this density formula admits an embedding of the real scalar multiplet of [arXiv:1712.02309]. Upon using the embedding of the tensor multiplet into the real scalar multiplet, we will construct a new higher derivative action of the tensor multiplet in $\mathcal{N}=2$ conformal supergravity.