Twisted Elliptic Genus for K3 and Borcherds Product

Tohru Eguchi, Kazuhiro Hikami

Research output: Contribution to journalArticlepeer-review

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 2012

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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