Generalized matter parities from finite modular symmetries

نویسندگان

چکیده

We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from finite modular $\Gamma_N$. Since all couplings in theories $\Gamma_N$ are described holomorphic forms with even weights, renormalizable and non-renormalizable operators such as baryon- and/or lepton-number violating severely constrained. From transformation matter multiplets weight $1/M$, we find $\mathbb{Z}_{2M}$ symmetries, including generalized baryon lepton parities, $R$-parity, $\mathbb{Z}_3$ triality $\mathbb{Z}_6$ proton hexality. Such enlarged to $\mathbb{Z}_{2M} \rtimes \mathbb{Z}_2^{\text{CP}}$ together CP transformation.

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ژورنال

عنوان ژورنال: Progress of theoretical and experimental physics

سال: 2023

ISSN: ['1347-4081', '0033-068X']

DOI: https://doi.org/10.1093/ptep/ptad041