Abstract

A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner. For some conjugacy classes, but not all, they match known modular forms. In this paper, we express the product formulae for all conjugacy classes of M24 in terms of products of standard modular forms. This provides a new proof of their modularity.

Details

Title
Mathieu moonshine and Siegel Modular Forms
Author
Govindarajan Suresh 1   VIAFID ORCID Logo  ; Samanta Sutapa 2 

1  Indian Institute of Technology Madras, Department of Physics, Chennai, India (GRID:grid.417969.4) (ISNI:0000 0001 2315 1926) 
2  Indian Association for the Cultivation of Science, School of Physical Sciences, Kolkata, India (GRID:grid.417929.0) (ISNI:0000 0001 1093 3582) 
Publication year
2021
Publication date
Mar 2021
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP03(2021)050
ProQuest document ID
2496731278
Copyright
© The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.