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 language | English |
|---|---|
| Pages (from-to) | 446-455 |
| Number of pages | 10 |
| Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |
| Volume | 694 |
| Issue number | 4-5 |
| DOIs | |
| Publication status | Published - Jan 3 2011 |
| Externally published | Yes |
Fingerprint
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 journal › Article
}
TY - JOUR
T1 - Note on twisted elliptic genus of K3 surface
AU - Eguchi, Tohru
AU - Hikami, Kazuhiro
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.
UR - http://www.scopus.com/inward/record.url?scp=78650307120&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78650307120&partnerID=8YFLogxK
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 -