Gravitational anomalies and entropy

TL;DR

This paper derives black hole entropy from gravitational anomalies in two dimensions by connecting anomalous energy-momentum tensors, Virasoro algebra, and the Cardy formula, covering both vector and chiral theories.

Contribution

It provides a novel derivation of entropy directly from gravitational anomalies using algebraic methods in two-dimensional theories.

Findings

Entropy is successfully derived from anomalies using the Virasoro algebra.

The approach applies to both vector and chiral gravitational theories.

The method confirms the consistency of anomaly-based entropy calculations.

Abstract

A derivation of entropy from the expressions for two dimensional gravitation anomalies is given. Starting from the near horizon anomalous energy-momentum tensors corresponding to particular anomalies, the Virasoro algebra with central extension is obtained. The central charge is identified by comparing with the standard form of the algebra. Then the conserved charge in the ground state is computed. Finally, using the Cardy formula the entropy is obtained. Here both the vector and chiral theories are discussed.