Gravitational anomalies and entropy

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.

V2: refs. updated, published in General Relativity and Gravitation

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• Noether current of the surface term of Einstein-Hilbert action, Virasoro algebra and entropy
• Conformal Transformation, Near Horizon Symmetry, Virasoro Algebra and Entropy
• Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case
• Noncommutative Heisenberg algebra in the neighbourhood of a generic null surface
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• Gravitational anomalies and one dimensional behaviour of black holes
• Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity