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Non-Semisimple Gaugings of D=5 N=8 Supergravity and FDA.s
High Energy Physics - Theory · Submitted 7 Sep 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim 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.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | 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). | contribution 0.56 | 0.91 | 0.13 | asserted 1.00 |
| s1 | In this approach the lagrangian is unnecessary since the field equations follow from closure of the supersymmetry algebra. | method 0.78 | 0.48 | 0.09 | asserted 1.00 |
| s2 | 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. | contribution 0.80 | 0.93 | 0.47 | asserted 1.00 |
| s3 | The use of Free Differential Algebras is essential to clarify, within a cohomological set up, the dualization mechanism between one-forms and two-forms. | method 0.73 | 0.60 | 0.08 | asserted 1.00 |
| s4 | Our theories contain 12-r self-dual two-forms and 15+r gauge vectors, r of which are abelian and neutral. | result 0.98 | 0.89 | 0.13 | asserted 1.00 |
| s5 | 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. | interpretation 0.97 | 0.82 | 0.31 | hedged possibility 0.95 |
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Original 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.
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