TY - JOUR
T1 - Mathieu Moonshine and symmetry surfing
AU - Gaberdiel, Matthias R.
AU - Keller, Christoph A.
AU - Paul, Hynek
N1 - Funding Information:
This paper is based on the Master thesis of one of us (HP). We thank Jeff Harvey and Greg Moore for initial collaboration on this project. It is a pleasure to thank Simeon Hellerman, Geoff Mason, Anne Taormina, Roberto Volpato, Katrin Wendland for helpful discussions. CAK thanks the Harvard University High Energy Theory Group for hospitality. CAK is supported by the Swiss National Science Foundation through the NCCR SwissMAP. The research of MRG is also supported partly by the NCCR SwissMAP, funded by the Swiss National Science Foundation.
PY - 2017/11/1
Y1 - 2017/11/1
N2 - Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group M24, has been proven abstractly, but a conceptual understanding in terms of a representation of the Mathieu group on the BPS states, is missing. Some time ago, Taormina and Wendland showed that such an action can be naturally defined on the lowest non-trivial BPS states, using the idea of symmetry surfing, i.e. by combining the symmetries of different K3 sigma models. In this paper we find non-trivial evidence that this construction can be generalized to all BPS states.
AB - Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group M24, has been proven abstractly, but a conceptual understanding in terms of a representation of the Mathieu group on the BPS states, is missing. Some time ago, Taormina and Wendland showed that such an action can be naturally defined on the lowest non-trivial BPS states, using the idea of symmetry surfing, i.e. by combining the symmetries of different K3 sigma models. In this paper we find non-trivial evidence that this construction can be generalized to all BPS states.
KW - Mathieu Moonshine
KW - modular forms
KW - vertex operator algebras
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U2 - 10.1088/1751-8121/aa915f
DO - 10.1088/1751-8121/aa915f
M3 - Article
AN - SCOPUS:85034221595
SN - 1751-8113
VL - 50
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
IS - 47
M1 - 474002
ER -