Journal ArticleDOI
Unified geometric theory of gravity and supergravity
S. W. MacDowell,F. Mansouri +1 more
Reads0
Chats0
TLDR
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
Citations
More filters
Journal ArticleDOI
Symmetry and feasibility of infinitesimal transformations
TL;DR: The convex closed cones which are stable under the restricted Lorentz group form a family parametrized by a new physical constant, in the simplest case a fundamental lenght as discussed by the authors.
Journal ArticleDOI
Weak equivalence principle from a spontaneously broken gauge theory of gravity
TL;DR: In this article, a finite topological field theory for gravity based on the SL ( 5, R ) gauge group is presented, and it is shown that not only a background metric emerges from a Higgs-like mechanism, but also consistently the geodesic equation central to Einstein's equivalence principle.
Journal ArticleDOI
On the Hidden Maxwell Superalgebra underlying D=4 Supergravity
TL;DR: In this article, 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 of the super algebra underlying $D=4$ in flat spacetime.
Journal ArticleDOI
Hamiltonian analysis of the BFCG formulation of General Relativity
TL;DR: In this paper, the Hamiltonian analysis of the BFCG action for general relativity was performed and all the constraints of the theory were classified into the first-class and second-class constraints.
Journal ArticleDOI
Hamiltonian analysis of SO(4,1)-constrained BF theory
R. Durka,Jerzy Kowalski-Glikman +1 more
TL;DR: In this paper, the authors discuss the canonical analysis of -constrained BF theory and show that the action of this theory contains topological terms appended by a term that breaks the gauge symmetry down to the Lorentz subgroup.