Entropy Function and AdS(2)/CFT(1) Correspondence
High Energy Physics - Theory
2009-09-15 v4
Abstract
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.
Cite
@article{arxiv.0805.0095,
title = {Entropy Function and AdS(2)/CFT(1) Correspondence},
author = {Ashoke Sen},
journal= {arXiv preprint arXiv:0805.0095},
year = {2009}
}
Comments
LaTeX file, 13 pages; v2: expanded discussion, references added; v3: modified and expanded discussion, references added; v4: added extensive discussion on boundary conditions