Twisted Elliptic Genus for K3 and Borcherds Product

Tohru Eguchi, Kazuhiro Hikami

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)203-222
Number of pages20
JournalLetters in Mathematical Physics
Volume102
Issue number2
DOIs
Publication statusPublished - Nov 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

Cite this

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

In: Letters in Mathematical Physics, Vol. 102, No. 2, 01.11.2012, p. 203-222.

Research output: Contribution to journalArticle

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