论文标题
Lepton行业模块化$ A_4 $和测量$ U（1）_r $对称
Lepton sector in modular $A_4$ and gauged $U(1)_R$ symmetry
论文作者
论文摘要
我们在模块化$ a_4 $下提出了一个Lepton模型，并测量了$ u（1）_r $ symmetries，其中中微子质量是在一环级别诱导的。多亏了模块化$ A_4 $对称性，我们对Lepton领域有几个预测，尤其是在$τ= i，ω\ equiv e^{2πi/3}的固定点上，i \ times \ times \ infty $每个$每个都有剩余的对称性； $ z_2 $ for $τ= i $和$ z_3 $ for $τ=ω，i \ infty $。这些观点受到弦理论的青睐，并且在现象学上有趣。
We propose a lepton model under modular $A_4$ and gauged $U(1)_R$ symmetries, in which the neutrino masses are induced at one-loop level. Thanks to the modular $A_4$ symmetry, we have several predictions on the lepton sector, especially, on fixed points of $τ=i,ω\equiv e^{2πi/3},i\times \infty$ each of which has remnant symmetry; $Z_2$ for $τ=i$ and $Z_3$ for $τ=ω, i\infty$. These points are favored by a string theory and phenomenologically interesting.
