Holographic duality of anti-de Sitter space with logarithmic conformal field theories

Abstract

We review the evidence that cosmological topologically massive gravity may correspond to a logarithmic conformal field theory for a specific tuning of the product of the AdS radius with the Chern-Simons coupling. More general three-dimensional models such as new massive gravity and generalized massive gravity as well as a generalization to a supersymmetric N = (1,0) extension and a four-dimensional model are shown to experience similar features. We end with a discussion on the limiting procedure to a logarithmic field theory for non- and ultra-relativistic contractions of the conformal algebra in two dimensions and its connection to flat space holography.