Holographic Gravitational Anomalies

TL;DR

This paper explores gravitational anomalies in the AdS/CFT framework, deriving holographic stress tensors, demonstrating bulk-boundary agreement, and revealing effects like nonzero angular momentum and entropy corrections consistent with microscopic counts.

Contribution

It provides a detailed holographic analysis of gravitational anomalies, including stress tensor calculations and entropy correction derivations in theories with Chern-Simons terms.

Findings

Holographic stress tensor matches boundary anomalies.

Anomalies induce nonzero angular momentum in AdS(3).

Entropy corrections align with microscopic string theory results.

Abstract

In the AdS/CFT correspondence one encounters theories that are not invariant under diffeomorphisms. In the boundary theory this is a gravitational anomaly, and can arise in 4k+2 dimensions. In the bulk, there can be gravitational Chern-Simons terms which vary by a total derivative. We work out the holographic stress tensor for such theories, and demonstrate agreement between the bulk and boundary. Anomalies lead to novel effects, such as a nonzero angular momentum for global AdS(3). In string theory such Chern-Simons terms are known with exact coefficients. The resulting anomalies, combined with symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes that agree exactly with the microscopic counting.