N = 4 superconformal algebra and the entropy of hyperKähler manifolds

Tohru Eguchi, Kazuhiro Hikami

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9 Citations (Scopus)

Abstract

We study the elliptic genera of hyperKähler manifolds using the representation theory of N = 4 superconformal algebra. We consider the decomposition of the elliptic genera in terms of N = 4 irreducible characters, and derive the rate of increase of the multiplicities of half-BPS representations making use of Rademacher expansion. Exponential increase of the multiplicity suggests that we can associate the notion of an entropy to the geometry of hyperKähler manifolds. In the case of symmetric products of K3 surfaces our entropy agrees with the black hole entropy of D5-D1 system.

Original languageEnglish
Article number19
JournalJournal of High Energy Physics
Volume2010
Issue number2
DOIs
Publication statusPublished - Jan 1 2010
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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