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
Massive supergravity from spontaneously breaking orthosymplectic gauge symmetry.
TL;DR: In this article, a Lagrangian density which is invariant under the orthosymplectic gauge group OSP(1, 4) and under general coordinate transformations was constructed.
Journal ArticleDOI
Structure of $N=1$ Conformal and Poincare Supergravity in (1+1)-dimensions and (2+1)-dimensions
TL;DR: In this article, a tensor calculus for conformal and Poincare supergravity theories in 2 and 3 spacetime dimensions is presented, and a supersymmetric extension of the non-trivial analog of Einstein's equation for 2 dimensions is given in terms of scalar curvature multiplet.
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Chiral Higher Spin Theories and Self-Duality
TL;DR: In this paper, the chiral higher spin field equations of motion were reformulated as the self-dual Yang-Mills equations with the associated gauge algebras instead of the usual colour gauge algebra.
Journal ArticleDOI
Gauss-Bonnet and Bianchi identities in Riemann-Cartan type gravitational theories
TL;DR: In this paper, elementary derivations of the Gauss-Bonnet type and Bianchi type identities for Riemann-Cartan geometry are presented directly in terms of the vierbein field eaμ and the spinconnection field Vabμ, in the spirit of gauge theory.
Journal ArticleDOI
Gravity and Unification: A review
Kirill Krasnov,Roberto Percacci +1 more
TL;DR: In this article, the authors review various classical unified theories of gravity and other interactions that have appeared in the literature, paying special attention to scenarios in which spacetime remains four-dimensional, while an "internal" space is enlarged.