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

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

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. \(S_3\), \(S_4\), \(\Delta(96)\) and \(\Delta(384)\).

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Veröffentlicht in:arXiv.org 2018-11
Hauptverfasser: Kobayashi, Tatsuo, Shio Tamba
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
Couplings
Physics - High Energy Physics - Phenomenology
Physics - High Energy Physics - Theory
Subgroups
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Zusammenfassung: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. \(S_3\), \(S_4\), \(\Delta(96)\) and \(\Delta(384)\).
ISSN:2331-8422
DOI:10.48550/arxiv.1811.11384