Entropy function and AdS2/CFT1 correspondence

  title={Entropy function and AdS2/CFT1 correspondence},
  author={Ashoke Sen},
  journal={Journal of High Energy Physics},
  • A. Sen
  • Published 1 May 2008
  • Computer Science
  • Journal of High Energy Physics
Wald's formula for black hole entropy, applied to extremal black holes, leads to the entropy function formalism. We manipulate the entropy computed this way to express it as the logarithm of the ground state degeneracy of a dual quantum mechanical system. This provides a natural definition of the extremal black hole entropy in the full quantum theory. Our analysis also clarifies the relationship between the entropy function formalism and the Euclidean action formalism. 

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

We review and extend recent attempts to find a precise relation between extremal black hole entropy and degeneracy of microstates using AdS2/CFT1 correspondence. Our analysis leads to a specific

One-Loop Test of Quantum Black Holes in anti-de Sitter Space.

Within 11-dimensional supergravity we compute the logarithmic correction to the entropy of magnetically charged asymptotically AdS_{4} black holes with arbitrary horizon topology. We find perfect

Entropy functional and the holographic attractor mechanism

A bstractWe provide a field theory interpretation of the attractor mechanism for asymptotically AdS4 dyonic BPS black holes whose entropy is captured by the supersymmetric index of the twisted ABJM

Arithmetic of quantum entropy function

Quantum entropy function is a proposal for computing the entropy associated with the horizon of a black hole in the extremal limit, and is related via AdS/CFT correspondence to the dimension of the

Ju n 20 09 Supersymmetry , Localization and Quantum Entropy Function

AdS2/CFT1 correspondence leads to a prescription for computing the degeneracy of black hole states in terms of path integral over string fields living on the near horizon geometry of the black hole.

Microscopic origin of the Bekenstein-Hawking entropy of supersymmetric AdS5 black holes

We present a holographic derivation of the entropy of supersymmetric asymp­totically AdS5 black holes. We define a BPS limit of black hole thermodynamics by first focussing on a supersymmetric

Un)attractor black holes in higher derivative AdS gravity

We investigate five-dimensional static (non-)extremal black hole solutions in higher derivative Anti-de Sitter gravity theories with neutral scalars non-minimally coupled to gauge fields. We

On the exact entropy of N = 2 black holes

We study the exact entropy of four-dimensional N = 2 black holes in M-theory both from the brane and supergravity points of view. On the microscopic side the degeneracy is given by a Fourier




We discuss some recent results on black hole thermodynamics within the context of effective gravitational actions including higher-curvature interactions. Wald's derivation of the First Law

Near extremal black hole entropy as entanglement entropy via AdS 2 / CFT 1

We point out that the entropy of (near) extremal black holes can be interpreted as the entanglement entropy of dual conformal quantum mechanics via AdS{sub 2}/CFT{sub 1}. As an explicit example, we

Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity

The entropy of the black hole is given by the value of the entropy function at this extremum, and the values of the scalar fields at the horizon as well as the sizes of AdS2 and S D−2 are determined by extremizing this entropy function with respect to the corresponding parameters.

Black hole entropy function, attractors and precision counting of microstates

In these lecture notes we describe recent progress in our understanding of attractor mechanism and entropy of extremal black holes based on the entropy function formalism. We also describe precise

Entropy of 2D black holes from counting microstates

We present a microscopical derivation of the entropy of the black hole solutions of the Jackiw-Teitelboim theory. We show that the asymptotic symmetry of two-dimensional (2D) anti\char21{}de Sitter


We holographically derive entropy of (near) extremal black holes as entanglement entropy of conformal quantum mechanics(CQM) living in two boundaries of AdS2.

Entropy function for heterotic black holes

We use the entropy function formalism to study the effect of the Gauss-Bonnet term on the entropy of spherically symmetric extremal black holes in heterotic string theory in four dimensions.

Microscopic black hole entropy in theories with higher derivatives

We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS3 × X geometry. In arbitrary theories with diffeomorphism in- variance we show how to obtain

Euclidean analysis of the entropy functional formalism

The attractor mechanism implies that the supersymmetric black hole near-horizon solution is defined only in terms of the conserved charges and is therefore independent of asymptotic moduli. Starting