The European Physical Journal C

, Volume 44, Issue 4, pp 607–612 | Cite as

Combinatorial identities and quantum state densitiesof supersymmetric sigma models on N-folds

  • M. C. B. AbdallaEmail author
  • A. A. Bytsenko
  • M. E. X. Guimarães
Theoretical Physics


There is a remarkable connection between the number of quantum states of conformal theories and the sequence of dimensions of Lie algebras. In this paper, we explore this connection by computing the asymptotic expansion of the elliptic genus and the microscopic entropy of black holes associated with (supersymmetric) sigma models. The new features of these results are the appearance of correct prefactors in the state density expansion and in the coefficient of the logarithmic correction to the entropy.


Black Hole Sigma Model Elliptic Genus Logarithmic Correction Twisted Sector 
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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  • M. C. B. Abdalla
    • 1
    Email author
  • A. A. Bytsenko
    • 2
  • M. E. X. Guimarães
    • 3
  1. 1.Instituto de Física TeóricaUniversidade Estadual PaulistaSão PauloBrazil
  2. 2.Departamento de FísicaUniversidade Estadual de LondrinaLondrina-ParanáBrazil
  3. 3.Departamento de MatemáticaUniversidade de BrasíliaBrasíliaBrazil

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