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Black hole partition functions and duality

Cardoso, G.L.; de Wit, B.; Käppeli, J. and Mohaupt, T. (2006) Black hole partition functions and duality. Journal of High Energy Physics (03). Article Number: 074. ISSN 1029-8479

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Abstract

The macroscopic entropy and the attractor equations for BPS black holes in fourdimensional N = 2 supergravity theories follow from a variational principle for a certain ‘entropy function’. We present this function in the presence of R2- interactions and non-holomorphic corrections. The variational principle identifies the entropy as a Legendre transform and this motivates the definition of various partition functions corresponding to different ensembles and a hierarchy of corresponding duality invariant inverse Laplace integral representations for the microscopic degeneracies. Whenever the microscopic degeneracies are known the partition functions can be evaluated directly. This is the case for N = 4 heterotic CHL black holes, where we demonstrate that the partition functions are consistent with the results obtained on the macroscopic side for black holes that have a non-vanishing classical area. In this way we confirm the presence of a measure in the duality invariant inverse Laplace integrals. Most, but not all, of these results are obtained in the context of semiclassical approximations. For black holes whose area vanishes classically, there remain discrepancies at the semiclassical level and beyond, the nature of which is not fully understood at present.

Item Type:Article
Additional Information:LTH 687. arXiv Number: arXiv:hep-th/0601108v1. Published 21 March 2006. Issue: March 2006. 37 pages.
Uncontrolled Keywords:Black Holes in String Theory; Supersymmetry and Duality; N=4 STRING THEORY; MACROSCOPIC ENTROPY; YANG-MILLS; AMPLITUDES; COUPLINGS; MANIFOLDS; STATES
Subjects:Q Science > QC Physics
Departments, Research Centres and Related Units:Academic Faculties, Institutes and Research Centres > Faculty of Science > Department of Mathematical Sciences
DOI:10.1088/1126-6708/2006/03/074
Publisher's Statement:Copyright © Institute of Physics and IOP Publishing Limited 2008
Related URLs:
Refereed:No
Status:Published
ID Code:385
Deposited On:15 Aug 2008 16:34
Last Modified:20 May 2011 16:13

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