Black Holes, Elementary Strings and Holomorphic Anomaly

Abstract

In a previous paper we had proposed a specific route to relating the entropy of two charge black holes to the degeneracy of elementary string states in N=4 supersymmetric heterotic string theory in four dimensions. For toroidal compactification this proposal works correctly to all orders in a power series expansion in inverse charges provided we take into account the corrections to the black hole entropy formula due to holomorphic anomaly. In this paper we demonstrate that similar agreement holds also for other N=4 supersymmetric heterotic string compactifications.

LaTeX file, 28 pages, reference added, minor changes in appendix B

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• Spinning Strings as Small Black Rings
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• The alpha-prime stretched horizon in the Heterotic string
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• From Fundamental Strings to Small Black Holes
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• Alpha-prime corrections to space-like branes
• Partition function of dyonic black holes in N=4 string theory
• Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the ${\mathbb{Z}}_2$ Model