We study the nature of boundary dynamics in the teleparallel 3D gravity. The
asymptotic field equations with anti-de Sitter boundary conditions yield only
two non-trivial boundary modes, related to a conformal field theory with
classical central charge. After showing that the teleparallel gravity can be
formulated as a Chern-Simons theory, we identify dynamical structure at the
boundary as the Liouville theory.Comment: 16 pages, RevTeX, no figure