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Zbl 0588.53066
Pràstaro, A.; Regge, T.
The group structure of supergravity.
(English)
[J] Ann. Inst. Henri Poincaré, Phys. Théor. 44, 39-89 (1986). ISSN 0246-0211

The authors develop a geometric theory of partial differential equations and use it to define a group manifold structure. This is then used to formulate a theory of supergravity which has a direct interpretation as a fully covariant gauge theory. Previous formulations of supergravity do not seem to have such an interpretation. The authors illustrate their approach by recasting supergravity in 5, 6 and 11 dimensions in their formulation.
[C.S.Sharma]
MSC 2000:
*53C80 Appl. of global differential geometry to physics
35A30 Geometric theory for PDE, transformations
83E50 Supergravity

Keywords: group manifold structure; supergravity; gauge theory

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Scientific prize winners of the ICM 2010
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Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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