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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Resonant superalgebras and N = 1 supergravity theories in three spacetime dimensions
TL;DR: In this paper, the authors explore N = 1 supersymmetric extensions of algebras going beyond the Poincare and AdS ones in three spacetime dimensions, and present new superalga-bras which all correspond to super-symmetric extensions with one fermionic charge Q α concerning the so-called resonant alga.
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Surface Charges for Gravity and Electromagnetism in the First Order Formalism
TL;DR: In this paper, a new derivation of surface charges for 3+1 gravity coupled to Electromagnetism is obtained, and the surface charges are quasilocal, explicitly coordinate independent, gauge invariant and background independent.
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Gauge theory of gravitation: (4+N)-dimensional theory
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Journal ArticleDOI
N $$ \mathcal{N} $$ = 2 AdS 4 supergravity, holography and Ward identities
Laura Maria Andrianopoli,Laura Maria Andrianopoli,Bianca L. Cerchiai,R. Matrecano,R. Matrecano,Olivera Miskovic,Ruggero Noris,Ruggero Noris,Rodrigo Olea,Lucrezia Ravera,Lucrezia Ravera,Mario Trigiante,Mario Trigiante +12 more
TL;DR: In this article, the holographic framework for a pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham parametrization, was developed.