Three-dimensional gravity with torsion as a Chern-Simons gauge theory

2003/07/16 by M. Blagojević, M. Blagojevic, M. Vasilic +1 · 8 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.68.104023

published as Phys.Rev. D68 (2003) 104023 · 12 pages, RevTeX

arxiv created 2003/07/16 · openalex publication_date 2003/11/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Black hole in three-dimensional spacetime
• 2 + 1 dimensional gravity as an exactly soluble system
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity
• Geometry of the 2+1 Black Hole

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• Supersymmetric 3D gravity with torsion: asymptotic symmetries
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• Covariant description of the black hole entropy in 3D gravity
• Three-dimensional supergravity reloaded
• Supersymmetric 3D model for gravity with SU (2) gauge symmetry, mass generation and effective cosmological constant
• Holographic correspondence in topological superconductors