Asymptotic Symmetry and the General Black Hole Solution in Ads_3 Gravity

Abstract

We describe the Brown-Henneaux asymptotic symmetry of the general black holes in the Chern-Simons gauge theory of the gauge group $SL(2;\mathbf{R}{)}_L\times SL(2;\mathbf{R}{)}_R$. We make it clear that the vector-like subgroup $SL(2;\mathbf{R}{)}_{L+R}$ plays an essential role in describing the asymptotic symmetry consistently. We find a quite general black hole solution in the $Ad{S}_3$ gravity theory. The solution is specified by an infinite number of conserved quantities which constitute a family of mapping from $S^1$ to the gauge group. The BTZ black hole is one of the simplest case.

19 pages, no figure

References in corpus (6)

• Gauge Theory Correlators from Non-Critical String Theory
• Absorption by Branes and Schwinger Terms in the World Volume Theory
• Boundary dynamics and the statistical mechanics of the 2+1 dimensional black hole
• Symmetry Algebras in Chern-Simons Theories with Boundary: Canonical Approach
• Symplectic Reduction and Symmetry Algebra in Boundary Chern-Simons theory
• AdS_3 Gravity and Conformal Field Theories

Cited by in corpus (3)

• Large N Field Theories, String Theory and Gravity
• Classical and Quantum Solutions of 2+1 Dimensional Gravity under De Broglie-Bohm Interpretation
• Conical Singular Solutions in (2+1)-Dimensional Gravity Employing the ADM Canonical Formalism