New higher derivative action for tensor multiplet in N $$ \mathcal{N} $$ = 2 conformal supergravity in four dimensions

Abstract

Abstract We will use the covariant superform approach to develop a new density formula for N $$ \mathcal{N} $$ = 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 [1]. 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 N $$ \mathcal{N} $$ = 2 conformal supergravity.

Keywords

• Extended Supersymmetry
• Supergravity Models