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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Journal ArticleDOI
Constrained gauge-gravity duality in three and four dimensions
TL;DR: In this article, the equivalence between Chern-Simons and Einstein-Hilbert actions in three dimensions was generalized to the off-shell case, and the special case of spacelike leafs evolving in time was studied.
Non-relativistic gravity theories in four spacetime dimensions
DissertationDOI
Superspace computations in susy and sugra theories
TL;DR: In this article, the Lagrangian of a deformed supergravity theory on a manifold with a non-trivial spacetime boundary was constructed using the geometric (or rheonomic) approach and the supersymmetry invariance of the theory was discussed.
Posted Content
Resonant superalgebras for supergravity.
R. Durka,Krzysztof M. Graczyk +1 more
TL;DR: In this paper, the authors presented the newly obtained symmetry algebras, evaluated within an efficient pattern-based computational method of generating the so-called "resonating" algebraic structures.