Quantum Entropy Function from AdS(2)/CFT(1) Correspondence

TL;DR

This paper explores the connection between extremal black hole entropy and microstate degeneracy through the AdS2/CFT1 correspondence, introducing the quantum entropy function as a key concept.

Contribution

It establishes a precise relation between black hole microstate degeneracy and a string theory partition function via the quantum entropy function, extending previous work.

Findings

Derivation of the quantum entropy function from AdS2/CFT1 correspondence

Reduction to classical entropy relations in the classical limit

Framework for calculating black hole microstate degeneracy

Abstract

We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1 correspondence. Our analysis leads to a specific relation between degeneracy of black hole microstates and an appropriately defined partition function of string theory on the near horizon geometry, -- named the quantum entropy function. In the classical limit this reduces to the usual relation between statistical entropy and Wald entropy.