Year: 2001
Type: article
Abstract: We review work done over the last years on the macroscopic and microscopic entropy of supersymmetric black holes in fourdimensional = 2 supergravity and in = 2 compactifications of string theory and M-theory. Particular emphasis is put on the crucial role of higher curvature terms and of modifications of the area law in obtaining agreement between the macroscopic entropy, which is a geometric property of black hole solutions and the microscopic entropy, which is computed by state counting in Calabi-Yau compactifications of string or M-theory. We also discuss invariance properties of the entropy under stringy T-duality and S-duality transformations in = 2,4 compactifications in presence of higher curvature terms. In order to make the paper self-contained we review the laws of black hole mechanics in higher derivative gravity, the definition of entropy as a surface charge, the superconformal off-shell description of = 2 supergravity, special geometry, and = 2 compactifications of heterotic and type II string theory and of M-theory.
Source: Fortschritte der Physik
Author: Thomas Mohaupt
Institution: Martin Luther University Halle-Wittenberg
Language: German
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2029611615