2001/02/01 by Thomas Mohaupt · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories
paper · doi:10.1002/1521-3978(200102)49:1/3<3::aid-prop3>3.0.co;2-#
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.