Twisted Elliptic Genus for K3 and Borcherds Product

Tohru Eguchi, Kazuhiro Hikami

研究成果: ジャーナルへの寄稿記事

6 引用 (Scopus)

抄録

We discuss the relation between the elliptic genus of K3 surface and the Mathieu group M 24. We find that some of the twisted elliptic genera for K3 surface, defined for conjugacy classes of the Mathieu group M 24, can be represented in a very simple manner in terms of the η product of the corresponding conjugacy classes. It is shown that our formula is a consequence of the identity between the Borcherds product and additive lift of some Siegel modular forms.

元の言語英語
ページ(範囲)203-222
ページ数20
ジャーナルLetters in Mathematical Physics
102
発行部数2
DOI
出版物ステータス出版済み - 11 1 2012

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Elliptic Genus
K3 Surfaces
Conjugacy class
Siegel Modular Forms
products

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

これを引用

Twisted Elliptic Genus for K3 and Borcherds Product. / Eguchi, Tohru; Hikami, Kazuhiro.

:: Letters in Mathematical Physics, 巻 102, 番号 2, 01.11.2012, p. 203-222.

研究成果: ジャーナルへの寄稿記事

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