Gravitational Anomalies in nAdS${}_2$/nCFT${}_1$

Abstract

We revisit the holographic description of the near horizon geometry of the BTZ black hole in AdS${}_3$ gravity, with a gravitational Chern-Simons term included. After a dimensional reduction of the three dimensional theory, we use the framework of nAdS${}_2$/nCFT${}_1$ to describe the near horizon physics. This setup allows us to contrast the role of the gravitational and conformal anomaly inherited from AdS${}_3$/CFT${}_2$ in the symmetry breaking mechanism of nAdS${}_2$/nCFT${}_1$. Our results display how boundary conditions in the 3D spacetime, combined with the gravitational anomaly, affect the holographic description of the near horizon of the black hole relative to the physics near the AdS${}_3$ boundary.

40 pages