Hawking Radiation and Quantum Anomaly in AdS2/CFT1 Correspondence

TL;DR

This paper explores how Hawking radiation can be understood through quantum anomalies in the AdS2/CFT1 framework, establishing a boundary-bulk correspondence for energy-momentum tensors and higher-spin currents.

Contribution

It introduces a novel boundary description of Hawking radiation using trace anomalies and establishes a correspondence between bulk operators and boundary composite operators in AdS2/CFT1.

Findings

Reproduces Hawking radiation from boundary CFT1

Establishes a correspondence between bulk higher-spin currents and boundary operators

Clarifies anomalous properties of energy-momentum tensor in AdS2/CFT1

Abstract

In order to understand a boundary description of Hawking radiation in the AdS/CFT correspondence, we investigate the trace anomaly method in AdS$_2$ space. In this method, Hawking radiation is derived from the trace anomaly of the energy-momentum tensor in the bulk. We find a correspondence between the energy-momentum tensor and a composite operator in CFT$_1$ and understand the anomalous properties of the energy-momentum tensor in terms of this composite operator. By using this correspondence, we reproduce Hawking radiation from the boundary description. In addition, we find a correspondence between higher-spin currents in the bulk and composite operators in the boundary.