N = 4 superconformal algebra and the entropy of hyperKähler manifolds

Tohru Eguchi, Kazuhiro Hikami

研究成果: Contribution to journalArticle査読

9 被引用数 (Scopus)

抄録

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.

本文言語英語
論文番号19
ジャーナルJournal of High Energy Physics
2010
2
DOI
出版ステータス出版済み - 2010
外部発表はい

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

フィンガープリント 「N = 4 superconformal algebra and the entropy of hyperKähler manifolds」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル