We discuss an inverse seesaw model based on right-handed fermion specific $U(1)$ gauge symmetry and $A_4$-modular symmetry. These symmetries forbid unnecessary terms and restrict structures of Yukawa interactions which are relevant to inverse seesaw mechanism. Then we can obtain some predictions in neutrino sector such as Dirac-CP phase and sum of neutrino mass, which are shown by our numerical analysis. Besides the relation among masses of heavy pseudo-Dirac neutrino can be obtained since it is also restricted by the modular symmetry. We also discuss implications to lepton flavor violation and collider physics in our model.

中文翻译：

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与逆跷跷板模型甲₄ -组合对称性

我们讨论基于右手费米子的反向跷跷板模型 $ü（\mathrm{1个}）$ 规范对称性和 ${\mathrm{一种}}_4$-模块化的对称性。这些对称性禁止不必要的术语，并限制了与逆跷跷板机制有关的汤川相互作用的结构。然后我们可以得到中微子界的一些预测，例如狄拉克－CP相和中微子质量总和，这些都可以通过我们的数值分析得到。除了可以得到重拟狄拉克中微子质量之间的关系之外，因为它也受到模块对称性的限制。我们还将在模型中讨论对轻子风味违规和对撞机物理的影响。