论文标题
通过局部量规通量零模式波函数
Zero-mode wave functions by localized gauge fluxes
论文作者
论文摘要
我们研究了手性零模式波的功能在$ t^2/z_n $ orbifolds的爆炸歧管上具有散装和局部磁通背景。我们引入了一个奇异的量规变换，以删除物质字段的$ z_n $ twisted边界条件的$ z_n $阶段。我们计算不仅构成零模式的波浪函数，还计算Orbifold单数点处的局部模式，这对应于局部通量引起的新零模式。通过研究他们的Yukawa耦合，事实证明，仅允许三种模式的Yukawa耦合。我们的理论具有特定的耦合选择规则。
We study chiral zero-mode wave functions on blow-up manifolds of $T^2/Z_N$ orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transformation in order to remove $Z_N$ phases for $Z_N$ twisted boundary condition of matter fields. We compute wave functions of not only bulk zero modes but also localized modes at the orbifold singular points, which correspond to new zero modes induced by localized flux. By studying their Yukawa couplings, it turns out that only three patterns of Yukawa couplings are allowed. Our theory has a specific coupling selection rule.
