Unified Geometric Theory of Gravity and Supergravity

MacDowell, S. W.; Mansouri, F.

doi:10.1103/physrevlett.38.739

Cited by 708 publications

(702 citation statements)

References 8 publications

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“…This Lagrangian was studied extensively in the framework of various approaches to gravity on the basis of the de Sitter group, see [55][56][57][58], for example. The same action was also used in [22,23] for the derivation of the conserved current associated with a vector field.…”

Section: B Regularization Via Relocalizationmentioning

confidence: 99%

Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

2006

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We discuss conservation laws for gravity theories invariant under general coordinate and local Lorentz transformations. We demonstrate the possibility to formulate these conservation laws in many covariant and noncovariant(ly looking) ways. An interesting mathematical fact underlies such a diversity: there is a certain ambiguity in a definition of the (Lorentz-) covariant generalization of the usual Lie derivative. Using this freedom, we develop a general approach to the construction of invariant conserved currents generated by an arbitrary vector field on the spacetime. This is done in any dimension, for any Lagrangian of the gravitational field and of a (minimally or nonminimally) coupled matter field. A development of the ''regularization via relocalization'' scheme is used to obtain finite conserved quantities for asymptotically nonflat solutions. We illustrate how our formalism works by some explicit examples.

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Section: B Regularization Via Relocalizationmentioning

confidence: 99%

Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

2006

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“…In particular, s = 2 gravitational field is described in supergravity by the frame field e a n which along with the Lorentz connection ω ab n can be interpreted [14] as components of the gauge field ω AB n of the…”

Section: Hs Fields As Gauge Connectionsmentioning

confidence: 99%

Higher spin gauge theories in any dimension

Vasiliev

2004

Comptes Rendus. Physique

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“…This component approach is based on treating gravity and supergravity as the geometrical theories by gauging the AdS (covering) symmetry group Sp(4) or the AdS supergroup OSp(1, 4), respectively [21]. Here we briefly outline this construction in the supergravity case.…”

Section: Ads-bi Supergravitymentioning

confidence: 99%

“…The MacDowell-Mansouri approach [21] for a construction of the Einstein supergravity puts both gravity and supergravity theories on equal footing, by generating both of them from the most basic gauge field theory action quadratic in the curvature. Therefore, their approach is perfectly suitable for our purpose of generating a BIE action via the BI equations (1.6) and (1.7), with the MacDowell-Mansouri density ε µνλρ R µν A R λρ B Q AB as the input (ω).…”

Section: Ads-bi Supergravitymentioning

confidence: 99%

4D, N = 1 Born-Infeld supergravity

Gates

Ketov²

2001

Class. Quantum Grav.

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We propose the 4D, N = 1 supergravitational analogues (avatars) of the 4D, N = 1 supersymmetric Born-Infeld action in four dimensions for the first time, by using superspace. In particular, a new Born-Infeld type generalization of the Weyl supergravity action is given. A natural new Born-Infeld type generalization of the Einstein supergravity is found as well. We also brielfy discuss a construction of the four-dimensional Born-Infeld-Einstein supergravity from the AdS supergravity in five dimensions, which seems to be very natural in our approach.

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Unified Geometric Theory of Gravity and Supergravity

Cited by 708 publications

References 8 publications

Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

Invariant conserved currents in gravity theories with local Lorentz and diffeomorphism symmetry

Higher spin gauge theories in any dimension

4D, N = 1 Born-Infeld supergravity

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