Modular forms of finite modular subgroups from magnetized D-brane models

Tatsuo Kobayashi, Shio Tamba
2019 Physical Review D  
We study modular transformation of holomorphic Yukawa couplings in magnetized D-brane models. It is found that their products are modular forms, which are non-trivial representations of finite modular subgroups, e.g. S_3, S_4, Δ(96) and Δ(384).
doi:10.1103/physrevd.99.046001 fatcat:sn4kxvwywng3xl3qlgxf62gq44