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Phys. Rev. Lett. 38, 739–742 (1977)

Unified Geometric Theory of Gravity and Supergravity

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S. W. MacDowell and F. Mansouri*
Physics Department, Yale University, New Haven, Connecticut 06520

See Also: Erratum

Received 9 February 1977; published in the issue dated 4 April 1977

A unified geometric formulation of gravitation and supergravity is presented. The action for these theories is constructed out of the components of the curvature tensor for bundle spaces with four-dimensional Lorentz base manifold and structure groups Sp(4) for gravity and OSp(1,4) for supergravity. The requirement of invariance under reflections, local Lorentz transformations, and general coordinate transformations uniquely determines the action and ensures the existence of local supersymmetry in supergravity.

© 1977 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.38.739
DOI:
10.1103/PhysRevLett.38.739
PACS:

*Yale Junior Fellow.

See Also

Erratum: S. W. MacDowell and F. Mansouri, Unified Geometric Theory of Gravity and Supergravity, Phys. Rev. Lett. 38, 1376 (1977).