Supersymmetric 3D gravity with torsion: asymptotic symmetries

2007/02/28 by B. Cvetković, B. Cvetkovic, M. Blagojević +1
Physics and Astronomy · #Algebra over a field #Algebra representation #Black Holes and Theoretical Physics #Cellular algebra #Cosmology and Gravitation Theories #Generalization #Geometry #Homogeneous space #Lie algebra #Mathematical analysis #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Poisson algebra #Poisson bracket #Pure mathematics #Quantum mechanics #Torsion (gastropod) #Virasoro algebra #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/24/15/011

published as Class.Quant.Grav.24:3933-3950,2007 · LATEX, 21 pages, v2: minor corrections, improvements in the presentation; v3: slightly improved form of the asymptotic supersymmetry algebra

arxiv created 2007/07/06 · openalex publication_date 2007/07/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the structure of asymptotic symmetries in N = 1 + 1 supersymmetric extension of three-dimensional gravity with torsion. Using a natural generalization of the bosonic anti-de Sitter asymptotic conditions, we show that the asymptotic Poisson bracket algebra of the canonical generators has the form of two independent super-Virasoro algebras with different central charges.

Citations

• Three-dimensional gravity with torsion as a Chern-Simons gauge theory
• Quantum Gravity in 2+1 Dimensions
• Quantization of Gauge Systems
• 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
• Supersymmetry of the (2+1)-dimensional black holes