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arXiv 2211.04596hep-thhep-ph
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局域规范通量的零模波函数

Zero-mode wave functions by localized gauge fluxes

Tatsuo Kobayashi, Hajime Otsuka, Makoto Sakamoto, Maki Takeuchi, Yoshiyuki Tatsuta, Hikaru Uchida

摘要:

本文研究了具有体和局域磁通量背景的$T^2/Z_N$轨道折叠爆破流形上的手征零模波函数。为了消除$Z_N$扭曲边界条件中的$Z_N$相位,我们引入了奇异规范变换.我们不仅计算了体零模的波函数,还计算了轨道奇点处的局域模,这些局域模对应于局域通量诱导的新零模。通过研究他们的汤川耦合,原来只有三种模式的汤川耦合是允许的。我们的理论有一个特定的耦合选择规则。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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