2 + 1 dimensional gravity from Maxwell and semi-simple extension of the Poincare gauge symmetric models

Abstract

We obtain 2 + 1 dimensional gravity with cosmological constant which is coupled to gauge fields, using Maxwell and semi-simple extension of the Poincare gauge symmetric models (i.e. Chern-Simons models with these gauge groups). Also, we obtain some Ads and BTZ type solutions for the classical equations of motion for these 2 + 1 dimensional gravities. For the semi-simple extension of the Poincare gauge group we investigate the Ads/CFT correspondence and show that the model at the boundary is equivalent to the sum of three WZW models over group SO(2,1). Then, we show that the central charge of the CFT is the same as that of CFT at the boundary of Ads spacetime related to the Chern-Simons model with gauge group SO(2,2). Finally, we show that these two 2 + 1 dimensional gravity models are dual (canonically transformed) to each other.

17 pages, two references are added

References in corpus (4)

• Generalized cosmological term from Maxwell symmetries
• Topological gravity and transgression holography
• Generating infinite-dimensional algebras from loop algebras by expanding Maurer Cartan forms
• A generalized action for $\left(2+1\right)$-dimensional Chern--Simons gravity

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• Generalized cosmological term in D=4 supergravity from a new AdS-Lorentz superalgebra
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• Maxwell-affine gauge theory of gravity
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• Gauge Theory of Maxwell-Weyl Group
• Three-dimensional non-relativistic supergravity and torsion
• Geometric Model of Topological Insulators from the Maxwell Algebra
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• $D=4$ supergravity from the Maxwell-Weyl superalgebra
• Extended Kinematical 3D Gravity Theories
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• Cosmological application of the Maxwell gravity
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