Supergravity actions with integral forms

L. Castellani; R. Catenacci; P. A. Grassi

doi:10.1016/j.nuclphysb.2014.10.023

Supergravity actions with integral forms

L. Castellani, R. Catenacci, P. A. Grassi

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	419-442
Number of pages	24
Journal	Nuclear Physics B
Volume	889
DOIs	https://doi.org/10.1016/j.nuclphysb.2014.10.023
Publication status	Published - 1 Dec 2014

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10.1016/j.nuclphysb.2014.10.023

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abstract = "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 Poincar{\'e} 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.",

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N2 - 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.

AB - 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.

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Supergravity actions with integral forms

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