3D gravity with torsion as a Chern-Simons gauge theory

Abstract

We show that topological 3D gravity with torsion can be formulated as a Chern-Simons gauge theory, provided a specific parameter, known as the effective cosmological constant, is negative. In that case, the boundary dynamics of the theory corresponding to anti-de Sitter boundary conditions is described by a conformal field theory with two different central charges.

12 pages, RevTeX

References in corpus (11)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Global Charges in Chern-Simons theory and the 2+1 black hole
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Exact vacuum solution of a (1+2)-dimensional Poincare gauge theory: BTZ solution with torsion
• Asymptotic symmetries in 3d gravity with torsion
• A Note on Einstein Gravity on AdS${}_3$ and Boundary Conformal Field Theory
• Black Hole Entropy in the Chern-Simons Formulation of 2+1 Gravity
• Asymptotic dynamics in 3D gravity with torsion

Cited by in corpus (37)

• BTZ Black Hole with Gravitational Chern-Simons: Thermodynamics and Statistical Entropy
• Three-dimensional supergravity reloaded
• Chern-Simons formulation of three-dimensional gravity with torsion and nonmetricity
• Canonical analysis of cosmological topologically massive gravity at the chiral point
• Black hole entropy in 3D gravity with torsion
• New solutions in 3D gravity
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• Holographic currents in first order Gravity and finite Fefferman-Graham expansions
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• The CFT dual of AdS gravity with torsion
• Black hole entropy from the boundary conformal structure in 3D gravity with torsion
• Holographic correspondence in topological superconductors
• Supersymmetric 3D model for gravity with $SU(2)$ gauge symmetry, mass generation and effective cosmological constant
• Asymptotic Symmetries of Maxwell Chern-Simons Gravity with Torsion
• Three-dimensional non-relativistic supergravity and torsion
• 3D gravity with propagating torsion: the AdS sector
• Geometric Model of Topological Insulators from the Maxwell Algebra
• Electric field in 3D gravity with torsion
• Asymptotic charges in 3d gravity with torsion
• On the addition of torsion to chiral gravity
• "Exotic" black holes with torsion
• Covariant description of the black hole entropy in 3D gravity
• Conserved charges in 3D gravity
• Nonlinear electrodynamics in 3D gravity with torsion
• Supersymmetric 3D gravity with torsion: asymptotic symmetries
• Self-dual Maxwell field in 3D gravity with torsion
• Gravitational and gauge couplings in Chern-Simons fractional spin gravity
• Dirac field in topologically massive gravity
• Three-dimensional teleparallel Chern-Simons supergravity theory
• Specific heat of 2D interacting Majorana fermions from holography
• Stability of 3D black hole with torsion
• On the classical central charge
• Anti-de Sitter 3-dimensional Gravity with Torsion
• Asymptotic Chern-Simons formulation of spacelike stretched AdS gravity
• Boundary terms, branes and AdS/BCFT in first-order gravity
• Spin-3 fields in Mielke-Baekler gravity
• Maxwell Chern-Simons gravity in 3D: Thermodynamics of cosmological solutions and black holes with torsion