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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On the hidden maxwell superalgebra underlying D=4 supergravity
TL;DR: In this paper, the hidden AdS-Lorentz superalgebra underlying D = 4 supergravity was extended to a hidden Maxwell super algebra, which can be viewed as an extension involving cosmological constant.
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Generalized pure Lovelock gravity
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Gravity in the 3+1-split formalism: I. Holography as an initial value problem
TL;DR: In this paper, a detailed analysis of the 3+1-split formalism of gravity in the presence of a cosmological constant is presented, which helps in revealing the intimate connection between holography and the initial value formulation of gravity.