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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Exploring Cartan gravity with dynamical symmetry breaking
Hans Westman,Tom Złośnik +1 more
TL;DR: In this paper, a class of polynomial actions that treat both the gauge connection A a bµ and Higgs field V a as genuine dynamical fields with no ad hoc constraints imposed was proposed.
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The Chern-Simons one-form and gravity on a fuzzy space
TL;DR: In this paper, it was shown that gravity on fuzzy spaces can be described by the one-dimensional matrix Chern-Simons action at finite N and by the higher dimensional Chern-simons action when the fuzzy space is approximated by a continuous manifold.
Journal ArticleDOI
Fibre bundles and supersymmetries
TL;DR: By extending the frame bundle of a manifold admitting a spin structure to a principal fibre bundle with group the super-Poincare group, this paper derived the supergravity Lagrangian and its invariances under supersymmetry and other transformations in a global form.
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Non-linear partially massless symmetry in an SO(1,5) continuation of conformal gravity
Luis Apolo,S. F. Hassan +1 more
TL;DR: In this paper, a non-linear theory of interacting spin-2 fields that is invariant under the partially massless (PM) symmetry to all orders has been constructed, in which the action contains a vector field associated to a local SO(2) symmetry.