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.
Highlights
IntroductionPublisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations
The formulation of D = 4, N = 1 supergravity studied in this paper is similar to new minimal supergravity
The deformation has some unusual and surprising features. One of these features is that in this formulation, using the fields bμν, λ0 and D 0, a Lagrangian, without or with matter fields included, in the simplest case differs from the corresponding Lagrangian of the new minimal formulation of supergravity only by an added extra portion proportional to L20 given in (27) (In addition, one may include L30 given in (28) but this does not make much difference)
Summary
Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. In the basic formulation [1,2] of pure D = 4, N = 1 supergravity, the commutator algebra of local symmetry transformations closes only on-shell. The physical fields of the supergravity multiplet of this formulation are the vierbein, the R-gauge field, the gravitino and a spin-1/2 field, the auxiliary fields are a real antisymmetric two-component tensor field without gauge degrees of freedom and a real scalar field. This supergravity multiplet, according to the usual counting, has off-shell. BRST techniques are used which are briefly recapitulated in the Appendixes A and B
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