TY - JOUR

T1 - Note on twisted elliptic genus of K3 surface

AU - Eguchi, Tohru

AU - Hikami, Kazuhiro

N1 - Funding Information:
We thank H. Ooguri and Y. Tachikawa for their collaboration at the early stage of this work. K.H. thanks D. Zagier for useful discussions at MFO, and participants in “Prospects in q-series and modular forms” at Dublin for discussions. Some computations are performed by use of SAGE [21] . Research of T.E. and K.H. are supported by Japan Ministry of Education, Culture, Sports, Science and Technology under grant Nos. 19GS0219 , 21654053 , and 22540069 .

PY - 2011/1/3

Y1 - 2011/1/3

N2 - 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.

AB - 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.

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U2 - 10.1016/j.physletb.2010.10.017

DO - 10.1016/j.physletb.2010.10.017

M3 - Article

AN - SCOPUS:78650307120

VL - 694

SP - 446

EP - 455

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -