Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-08-13
Phys.Rev. D68 (2003) 104011
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figures, version to appear in the Phys. Rev. D (2003)
Scientific paper
10.1103/PhysRevD.68.104011
By means of an identity that equates elliptic genus partition function of a supersymmetric sigma model on the $N$-fold symmetric product $S^N X$ of $X$ ($S^N X=X^N/S_N$, $S_N$ is the symmetric group of $N$ 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.
Abdalla M. C. B.
Bytsenko Andrei
Guimaraes Maria Emília X.
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