Twisted Elliptic Genus for K3 and Borcherds Product

Tohru Eguchi, Kazuhiro Hikami

    Research output: Contribution to journalArticlepeer-review

    8 Citations (Scopus)


    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
    Issue number2
    Publication statusPublished - Nov 2012

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics


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