The asymptotic dynamics of three-dimensional Einstein gravity with a

 negative cosmological constant

There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

Abstract

Liouville theory is shown to describe the asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant. This is because (i) Chern-Simons theory with a gauge group \(SL(2,R) \times SL(2,R)\) on a space-time with a cylindrical boundary is equivalent to the non-chiral \(SL(2,R)\) WZW model; and (ii) the anti-de Sitter boundary conditions implement the constraints that reduce the WZW model to the Liouville theory.

Related collections

Most cited references 6

Record: found
Abstract: found
Article: found

Is Open Access

The Black Hole in Three Dimensional Space Time

Jorge Zanelli, Claudio Teitelboim, Máximo Bañados (1992)

The standard Einstein-Maxwell equations in 2+1 spacetime dimensions, with a negative cosmological constant, admit a black hole solution. The 2+1 black hole -characterized by mass, angular momentum and charge, defined by flux integrals at infinity- is quite similar to its 3+1 counterpart. Anti-de Sitter space appears as a negative energy state separated by a mass gap from the continuous black hole spectrum. Evaluation of the partition function yields that the entropy is equal to twice the perimeter length of the horizon.