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Ruiz Ruiz, Fernando and Marculescu, S (2009) SeibergWitten maps for SO(1,3) gauge invariance and deformations of gravity. Physical Review D, 79 (2). ISSN 15507998

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Official URL: http://dx.doi.org/10.1103/PhysRevD.79.025004
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http://journals.aps.org  Publisher 
Abstract
A family of diffeomorphisminvariant SeibergWitten deformations of gravity is constructed. In a first step SeibergWitten maps for an SO(1,3) gauge symmetry are obtained for constant deformation parameters. This includes maps for the vierbein, the spin connection, and the EinsteinHilbert Lagrangian. In a second step the vierbein postulate is imposed in normal coordinates and the deformation parameters are identified with the components theta(mu nu)(x) of a covariantly constant bivector. This procedure gives for the classical action a power series in the bivector components which by construction is diffeomorphism invariant. Explicit contributions up to second order are obtained. For completeness a cosmological constant term is included in the analysis. Covariant constancy of theta(mu nu)(x), together with the field equations, imply that, up to second order, only four dimensional metrics which are direct sums of two two dimensional metrics are admissible, the twodimensional curvatures being expressed in terms of theta(mu nu). These fourdimensional metrics can be viewed as a family of deformed emergent gravities.
Item Type:  Article 

Additional Information:  © 2009 The American Physical Society. 
Uncontrolled Keywords:  Noncommutative Gravity, NonCommutativity, Standard Model, DBrane, Spaces, Field, Time 
Subjects:  Sciences > Physics 
ID Code:  24825 
Deposited On:  25 Mar 2014 16:46 
Last Modified:  25 Mar 2014 16:46 
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