Mathieu moonshine and Siegel Modular Forms

被引：2
|
作者：
Govindarajan, Suresh [1 ]
Samanta, Sutapa [2 ]
机构：
[1] Indian Inst Technol Madras, Dept Phys, Chennai 600036, Tamil Nadu, India
[2] Indian Assoc Cultivat Sci, Sch Phys Sci, Kolkata 700032, India
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2021年 / 2021卷 / 03期
关键词：
Black Holes in String Theory; Extended Supersymmetry;
D O I：
10.1007/JHEP03(2021)050
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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 M-24 in terms of products of standard modular forms. This provides a new proof of their modularity.
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页数：35
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