Journal ArticleDOI
Unified geometric theory of gravity and supergravity
S. W. MacDowell,F. Mansouri +1 more
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In this article, a unified geometric formulation of gravitation and supergravity is presented, which 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.Abstract:
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.read more
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N=1 and N=2 pure supergravities on a manifold with boundary
TL;DR: In this paper, the Lagrangians of N = 1 and N = 2 pure supergravity in four dimensions with negative cosmological constant were constructed in the presence of a non trivial boundary of space-time.
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Teleparallel gravity and dimensional reductions of noncommutative gauge theory
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Comments on 11-dimensional supergravity
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Gravitational duality transformations on (A)dS4
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