2024
DOI: 10.1007/jhep08(2024)088
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Modular forms and hierarchical Yukawa couplings in heterotic Calabi-Yau compactifications

Keiya Ishiguro,
Tatsuo Kobayashi,
Satsuki Nishimura
et al.

Abstract: We study the modular symmetry in heterotic string theory on Calabi-Yau threefolds. In particular, we examine whether moduli-dependent holomorphic Yukawa couplings are described by modular forms in the context of heterotic string theory with standard embedding. We find that SL(2, ℤ) modular symmetry emerges in asymptotic regions of the Calabi-Yau moduli space. The instanton-corrected holomorphic Yukawa couplings are then given by modular forms under SL(2, ℤ) or its congruence subgroups such as Γ0(3) and Γ0(4). … Show more

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