Generalized matter parities from finite modular symmetries
Generalized matter parities from finite modular symmetries
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DOI：
10.1093/ptep/ptad041
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发表时间：
2022-07
影响因子：
3.5
通讯作者：
Tatsuo Kobayashi;Satsuki Nishimura;Hajime Otsuka;M. Tanimoto;Kei Yamamoto
中科院分区：
文献类型：
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作者：
Tatsuo Kobayashi;Satsuki Nishimura;Hajime Otsuka;M. Tanimoto;Kei Yamamoto
我们将标准模型的超对称推广归类为源于有限模对称ΓN的离散对称。由于有限模对称的超对称理论中的所有耦合都用模权重为偶数的全纯模形式来描述，所以重子和/或轻子数破坏算符等可重整和不可重整的算符都受到严格的约束。从模权重为1/M的物质多重态的模变换中，我们发现了它的对称性，包括广义重子奇偶、轻子奇偶、R宇称、重子三分性和质子六分性。这种$\mathbb{Z}_{2m}$对称性与CP变换一起被放大到$\mathbb{Z}_{2m}次\mathbb{Z}_2^{\Text{CP}}$对称性。
We classify a supersymmetric extension of the Standard Model by discrete symmetries originating from finite modular symmetries ΓN. Since all the couplings in supersymmetric theories of finite modular symmetries ΓN 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.