Critical gravities in d ≥ 3

Abstract

Critical gravities originated in the context of three-dimensional massive gravities. They were conjectured to describe gravitational duals of two-dimensional logarithmic conformal field theories. In this talk, we show that critical gravities can also be studied in dimensions d > 3. As in three dimensions, higher-dimensional critical gravities exhibit logarithmic modes. We argue that the existence of these logarithmic modes leads one to conjecture that higher-dimensional critical gravities are dual to logarithmic conformal field theories in more than two dimensions.