Properties of an alternative off-shell formulation of 4D supergravity

TL;DR

This paper explores a novel off-shell formulation of 4D N=1 supergravity featuring an auxiliary antisymmetric tensor field, discussing its relation to existing models and methods for constructing invariant actions.

Contribution

It introduces an alternative off-shell supergravity formulation with a unique auxiliary tensor field, expanding the theoretical framework and tools for supergravity models.

Findings

Establishes a new off-shell supergravity formulation with an antisymmetric tensor auxiliary field.

Connects the new formulation to the existing new minimal supergravity.

Provides methods for constructing invariant actions with matter fields.

Abstract

This article elaborates on an off-shell formulation of D=4, N=1 supergravity whose auxiliary fields comprise an antisymmetric tensor field without gauge degrees of freedom. In particular, the relation to new minimal supergravity, a supercovariant tensor calculus and the construction of invariant actions including matter fields are discussed.