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

TL;DR

This paper explores how gravitational anomalies influence the holographic description of near-horizon black hole geometries in AdS$_3$ gravity, using a dimensional reduction to nAdS$_2$/nCFT$_1$ to analyze symmetry breaking.

Contribution

It introduces a framework to study the impact of gravitational and conformal anomalies on the holographic duality in near-horizon geometries of BTZ black holes.

Findings

Boundary conditions and anomalies affect the symmetry breaking in holographic models.

The gravitational anomaly modifies the near-horizon holographic description.

The analysis clarifies the role of boundary conditions in holography with anomalies.

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.