Black Hole Entropy Associated with Supersymmetric Sigma Model
arXiv:hep-th/0308090 · doi:10.1103/PhysRevD.68.104011
Abstract
By means of an identity that equates elliptic genus partition function of a supersymmetric sigma model on the -fold symmetric product of (, is the symmetric group of elements) to the partition function of a second quantized string theory, we derive the asymptotic expansion of the partition function as well as the asymptotic for the degeneracy of spectrum in string theory. The asymptotic expansion for the state counting reproduces the logarithmic correction to the black hole entropy.
11 pages, no figures, version to appear in the Phys. Rev. D (2003)
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