Supergravity actions with integral forms
Integral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical approach to supergravity and its variational principle...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2014-12-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321314003290 |
| _version_ | 1818386894086471680 |
|---|---|
| author | L. Castellani R. Catenacci P.A. Grassi |
| author_facet | L. Castellani R. Catenacci P.A. Grassi |
| author_sort | L. Castellani |
| collection | DOAJ |
| description | Integral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical approach to supergravity and its variational principle are reformulated and clarified in this language. Central in our analysis is the Poincaré dual of a bosonic manifold embedded into a supermanifold. Finally, using integral forms we provide a proof of Gates' so-called “Ectoplasmic Integration Theorem”, relating superfield actions to component actions. |
| first_indexed | 2024-12-14T04:01:18Z |
| format | Article |
| id | doaj.art-14d49f3abf364d6b8d0db9963a86fe49 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 1873-1562 |
| language | English |
| last_indexed | 2024-12-14T04:01:18Z |
| publishDate | 2014-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-14d49f3abf364d6b8d0db9963a86fe492022-12-21T23:17:56ZengElsevierNuclear Physics B0550-32131873-15622014-12-01889C41944210.1016/j.nuclphysb.2014.10.023Supergravity actions with integral formsL. Castellani0R. Catenacci1P.A. Grassi2Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, Viale T. Michel, 11, 15121 Alessandria, ItalyDipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, Viale T. Michel, 11, 15121 Alessandria, ItalyDipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, Viale T. Michel, 11, 15121 Alessandria, ItalyIntegral forms provide a natural and powerful tool for the construction of supergravity actions. They are generalizations of usual differential forms and are needed for a consistent theory of integration on supermanifolds. The group geometrical approach to supergravity and its variational principle are reformulated and clarified in this language. Central in our analysis is the Poincaré dual of a bosonic manifold embedded into a supermanifold. Finally, using integral forms we provide a proof of Gates' so-called “Ectoplasmic Integration Theorem”, relating superfield actions to component actions.http://www.sciencedirect.com/science/article/pii/S0550321314003290 |
| spellingShingle | L. Castellani R. Catenacci P.A. Grassi Supergravity actions with integral forms Nuclear Physics B |
| title | Supergravity actions with integral forms |
| title_full | Supergravity actions with integral forms |
| title_fullStr | Supergravity actions with integral forms |
| title_full_unstemmed | Supergravity actions with integral forms |
| title_short | Supergravity actions with integral forms |
| title_sort | supergravity actions with integral forms |
| url | http://www.sciencedirect.com/science/article/pii/S0550321314003290 |
| work_keys_str_mv | AT lcastellani supergravityactionswithintegralforms AT rcatenacci supergravityactionswithintegralforms AT pagrassi supergravityactionswithintegralforms |