We study the nature of boundary dynamics in teleparallel 3D gravity. The asymptotic field equations with anti–de Sitter boundary conditions yield only two nontrivial boundary modes, associated with a conformal field theory with a classical central charge. After showing that the teleparallel gravity can be formulated as a Chern-Simons theory, we identify the dynamical structure at the boundary as the Liouville theory.

• Received 20 June 2003

DOI:https://doi.org/10.1103/PhysRevD.68.124007