论文标题
有限模块化对称性的广义物质均等
Generalized Matter Parities from Finite Modular Symmetries
论文作者
论文摘要
我们通过有限模块对称$γ_n$的离散对称性对标准模型进行超对称扩展。由于有限模块化对称性的超对称理论中的所有耦合$γ_n$都由荷兰形态模块化形式均匀,甚至具有模块化的重量,因此可重新分配和不可降低的操作员,例如Baryon-和/lepton-number Interber Interber Interber的运算符。 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.这样的$ \ mathbb {z} _ {2M} $ sommetries被扩大到$ \ mathbb {z} _ {2M} \ rtimes \ mathbb {z} _2^{\ text {cp}} $ symmeties以及cp symmeties以及CP TRONSSURATION。
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.