Microscopic black hole entropy in theories with higher derivatives

  title={Microscopic black hole entropy in theories with higher derivatives},
  author={Per Kraus and Finn Larsen},
  journal={Journal of High Energy Physics},
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 the spacetime central charge in a simple way. Black hole entropy then follows from the euclidean partition function, and we show that this gives agreement with Wald's formula. In string theory there are certain diffeomorphism anoma- lies that we exploit. We thereby reproduce some recent computations… 

Entropy function and attractors for AdS black holes

We apply Sen's entropy formalism to the study of the near horizon geometry and the entropy of asymptotically AdS black holes in gauged supergravities. In particular, we consider non-supersymmetric

Supersymmetric index from black hole entropy

For BPS black holes with at least four unbroken supercharges, we describe how the macroscopic entropy can be used to compute an appropriate index, which can be then compared with the same index

Quantum Black Holes

In these notes we describe recent progress in understanding finite size corrections to the black hole entropy. Much of the earlier work concerning quantum black holes has been in the limit of large

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.

Black hole entropy functions and attractor equations

The entropy and the attractor equations for static extremal black hole solutions follow from a variational principle based on an entropy function. In the general case such an entropy function can be

-corrections to extremal dyonic black holes in heterotic string theory

We calculate α′2-corrections to the entropy of the 5-dimensional 3-charge and the 4-dimensional 4-charge large extremal black holes using the low energy effective action of the heterotic string

Extremal single-charge small black holes: entropy function analysis

We study stretched horizons of the type AdS2 × S8 for certain spherically symmetric extremal small black holes in type IIA carrying only D0-brane charge making use of Sen's entropy function formalism

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions

  • A. Sen
  • Physics, Computer Science
  • 2013
Euclidean gravity results provide strong constraint on any ultraviolet completion of the theory if the latter is able to give an independent computation of the entropy of non-extremal black holes from microscopic description.

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

Quantum black hole entropy, localization and the stringy exclusion principle

A bstractSupersymmetric localization has led to remarkable progress in computing quantum corrections to BPS black hole entropy. The program has been successful especially for computing perturbative



Stretching the horizon of a higher dimensional small black hole

  • A. Sen
  • Physics, Computer Science
  • 2005
Higher derivative corrections are capable of stretching the horizon of a small black hole in arbitrary dimensions if they know the higher derivative corrections to the action.

Observables for two-dimensional black holes.

This work considers the most general dilaton gravity theory in 1+1 dimensions and finds a simple expression that relates the energy of a generic solution to the magnitude of the corresponding Killing vector, which leads directly to an expression for the entropy.

Deviations from the Area Law for Supersymmetric Black Holes

We review modifications of the Bekenstein-Hawking area law for black hole entropy in the presence of higher-derivative interactions. In four-dimensional N = 2 compactifications of string theory or

Black hole entropy from near-horizon microstates

Black holes whose near-horizon geometries are locally, but not necessarily globally, AdS3 (three-dimensional anti-de Sitter space) are considered. Using the fact that quantum gravity on AdS3 is a

How does a fundamental string stretch its horizon

It has recently been shown that if we take into account a class of higher derivative corrections to the effective action of heterotic string theory, the entropy of the black hole solution

The first law of thermodynamics for Kerr–anti-de Sitter black holes

We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the

How Does a Fundamental String Stretch its Horizon ?

It has recently been shown that if we take into account a class of higher derivative corrections to the effective action of heterotic string theory, the entropy of the black hole solution

Exact Counting of Black Hole Microsates

The exact entropy of two-charge supersymmetric black holes in N=4 string theories is computed to all orders using Wald's formula and the supersymmetric attractor equations with an effective action