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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Supergravity in the group-geometric framework: a primer.
TL;DR: In this paper, the authors review the group-geometric approach to supergravity theories, in the perspective of recent developments and applications Usual diffeomorphisms, gauge symmetries and supersymmetries are unified as superdiffeomorphisms in a supergroup manifold integration on supermanifolds is briefly revisited and used as a tool to provide a bridge between component and superspace actions.
Journal ArticleDOI
Holographic correlation functions in Critical Gravity
Giorgos Anastasiou,Rodrigo Olea +1 more
TL;DR: In this article, the authors compute the holographic stress tensor and the logarithmic energy-momentum tensor of Einstein-Weyl gravity at the critical point, which is carried out performing a holographic expansion in a bulk action supplemented by the Gauss-Bonnet term with a fixed coupling.
Journal ArticleDOI
Kaluza-Klein Reduction of a Quadratic Curvature Model
Sibel Başkal,Halil Kuyrukcu +1 more
TL;DR: In this paper, the Kaluza-Klein dimensional reduction mechanism is used to obtain the reduced curvature invariant, field equations and the stress-energy tensor in four dimensional spacetime.
Journal ArticleDOI
A locally supersymmetric SO(10, 2) invariant action for D = 12 supergravity
TL;DR: In this paper, the authors present an action for N = 1 supergravity in 10 + 2 dimensions, containing the gauge fields of the OSp(1|64) superalgebra.
Gauge theories and gravity
TL;DR: In this paper, pure gauge theories for de Sitter, anti-de Sitter and orthogonal groups in four-dimensional Euclidean spacetime were studied and it was shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective geometry may be induced and a gravity theory emerges.