Microscopic black hole entropy in theories with higher derivatives
Abstract
We discuss higher derivative corrections to black hole entropy in theories that allow a near horizon AdS_{3} × X geometry. In arbitrary theories with diffeomorphism invariance 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 anomalies that we exploit. We thereby reproduce some recent computations of corrected entropy formulas, and extend them to the nonextremal, nonsupersymmetric context. Examples include black holes in Mtheory on K3 × T^{2}, whose entropy reproduces that of the perturbative heterotic string with both right and left movers excited and angular momentum included. Our anomaly based approach also sheds light on why exact results have been obtained in four dimensions while ignoring R^{4} type corrections.
 Publication:

Journal of High Energy Physics
 Pub Date:
 September 2005
 DOI:
 10.1088/11266708/2005/09/034
 arXiv:
 arXiv:hepth/0506176
 Bibcode:
 2005JHEP...09..034K
 Keywords:

 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 23 pages