Note on twisted elliptic genus of K3 surface

Tohru Eguchi, Kazuhiro Hikami

Research output: Contribution to journalArticle

64 Citations (Scopus)

Abstract

We discuss the possibility of Mathieu group M24 acting as symmetry group on the K3 elliptic genus as proposed recently by Ooguri, Tachikawa and one of the present authors. One way of testing this proposal is to derive the twisted elliptic genera for all conjugacy classes of M24 so that we can determine the unique decomposition of expansion coefficients of K3 elliptic genus into irreducible representations of M24. In this Letter we obtain all the hitherto unknown twisted elliptic genera and find a strong evidence of Mathieu moonshine.

Original languageEnglish
Pages (from-to)446-455
Number of pages10
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume694
Issue number4-5
DOIs
Publication statusPublished - Jan 3 2011
Externally publishedYes

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proposals
decomposition
expansion
symmetry
coefficients

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Note on twisted elliptic genus of K3 surface. / Eguchi, Tohru; Hikami, Kazuhiro.

In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 694, No. 4-5, 03.01.2011, p. 446-455.

Research output: Contribution to journalArticle

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