Black hole entropy associated with the supersymmetric sigma model

2003/08/13 by M. C. B. Abdalla, A. A. Bytsenko, M. E. X. Guimaraes +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1103/physrevd.68.104011

published as Phys.Rev. D68 (2003) 104011 · 11 pages, no figures, version to appear in the Phys. Rev. D (2003)

arxiv created 2003/08/13 · openalex publication_date 2003/11/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By means of an identity that equates the elliptic genus partition function of a supersymmetric sigma model on the N-fold symmetric product S^NX of X (S^NX=X^N/S_N, where 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.

Citations

• Brane-black hole correspondence and the asymptotic properties of the quantum spectrum
• Algebras, BPS states, and strings
• Automorphic forms onO s +2,2(R) and infinite products
• Asymptotic density of open p-brane states with zero-modes included
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Elliptic Genera of Symmetric Products and Second Quantized Strings