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Black holes and elementary string states in N = 2 supersymmetric string theories

Ashoke Sen1

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We compare the logarithm of the degeneracy of BPS saturated elementary string states and the string modified Bekenstein-Hawking entropy of the corresponding black holes in N = 2 supersymmetric heterotic string compactification to four dimensions. As in the case of N = 4 supersymmetric theory, the two results match up to an overall undetermined numerical factor. We also show that this undetermined numerical constant is identical in the N = 2 and N = 4 supersymmetric theories, therby showing that the agreement between the Bekenstein-Hawking entropy and the microscopic entropy for N = 2 theories does not require any new identity, other than the one already required for the N = 4 theory. A similar result holds for type II string compactification as well.


Keywords

Superstrings and Heterotic Strings

Black Holes in String Theory

PACS

04.70.-s Physics of black holes

11.25.Mj Compactification and four-dimensional models

11.30.Pb Supersymmetry

Subjects

Gravitation and cosmology

Particle physics and field theory

Dates

Issue 02 ( 1 February 1998)

Received 10 February 1998, accepted for publication 17 February 1998

Published 26 March 1998



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