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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DissertationDOI
S-Expansion with Ideal Subtraction and Solutions in Extended Supergravities
Molina Penafiel,Diego Sebastian +1 more
TL;DR: In this article, the concept of zero-reduction has been extended reproducing a generalized Inönü-Wigner contraction, which involves an infinite abelian semigroup S (∞) E and the removal of an ideal subalgebra.
Book ChapterDOI
Self-Duality Equations for Gauge Theories
Gheorghe Zet,Vasile Manta +1 more
TL;DR: Gauge field theory of MacDowell and Mansouri is modified using the Poincare group as Gauge group of flat Minkowski space-time in this article.
Book ChapterDOI
Spontaneous Breaking of Lorentz Symmetry for Canonical Gravity
TL;DR: In this paper, the authors present a Lorentz covariant formulation generalising the notion of a foliation of spacetime to a field of local observers which specify a time direction only locally.
Journal ArticleDOI
Non-metrical supergravity for a spin-two nonet
TL;DR: In this article, the SL(2M, C) gauge invariance of the Einstein-Cartan-Weyl Lagrangians of strong gravity was generalized to the supersymmetry group U( 2M, 2M|1).
Journal ArticleDOI
Double Self-Dual and Anti-Self-Dual Structure of N=1 Supergravity
TL;DR: In this article, the double self-dual and anti-selfdual structure of N = 1 supergravity is discussed using the Dirac matrices, and it is shown that the (anti-)self-doual part of the curvature does not consist of the connection alone.