Non-Semisimple Gaugings of D=5 N=8 Supergravity and FDA.s

TL;DR

This paper reformulates D=5 N=8 supergravity using Free Differential Algebras, enabling the construction of non-semisimple gaugings without a lagrangian, and explores their potential for domain wall solutions and gravity trapping.

Contribution

It introduces a lagrangian-independent formulation of supergravity with non-semisimple gaugings via Free Differential Algebras, clarifying dualization and supersymmetry structures.

Findings

Constructed non-compact gaugings CSO(p,q,r) without a lagrangian.

Demonstrated the supersymmetry algebra and field equations follow from closure.

Identified theories with self-dual two-forms and neutral gauge vectors.

Abstract

We reformulate maximal D=5 supergravity in the consistent approach uniquely based on Free Differential Algebras and the solution of their Bianchi identities (= rheonomic method). In this approach the lagrangian is unnecessary since the field equations follow from closure of the supersymmetry algebra. This enables us to explicitly construct the non-compact gaugings corresponding to the non--semisimple algebras CSO(p,q,r), irrespectively from the existence of a lagrangian. The use of Free Differential Algebras is essential to clarify, within a cohomological set up, the dualization mechanism between one-forms and two-forms. Our theories contain 12-r self-dual two-forms and 15+r gauge vectors, r of which are abelian and neutral. These theories, whose existence is proved and their supersymmetry algebra constructed hereby, have potentially interesting properties in relation with domain wall solutions and the trapping of gravity.