Generalized matter parities from finite modular symmetries. (17th March 2023)

• Record Type: Journal Article
• Authors: Kobayashi, Tatsuo; Nishimura, Satsuki; Otsuka, Hajime; Tanimoto, Morimitsu; Yamamoto, Kei
• Is Part Of: Progress of theoretical and experimental physics. Volume 2023:Number 4(2023)
• Publication Date: 2023-03-17
• Subjects: Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptad041
• Languages: English
• ISSNs: 2050-3911

Abstract

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