当前位置: X-MOL 学术Phys. Rev. D › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Zero-mode counting formula and zeros in orbifold compactifications
Physical Review D ( IF 5 ) Pub Date : 2020-07-10 , DOI: 10.1103/physrevd.102.025008
Makoto Sakamoto , Maki Takeuchi , Yoshiyuki Tatsuta

We thoroughly analyze the number of independent zero modes and their zero points on the toroidal orbifold T2/ZN(N=2,3,4,6) with magnetic flux background, inspired by the Atiyah-Singer index theorem. We first show a complete list for the number nη of orbifold zero modes belonging to ZN eigenvalue η. Since it turns out that nη quite complicatedly depends on the flux quanta M, the Scherk-Schwarz twist phase (α1,α2), and the ZN eigenvalue η, it seems hard that nη can be universally explained in a simple formula. We, however, succeed in finding a single zero-mode counting formula nη=(M-Vη)/N+1, where Vη denotes the sum of winding numbers at the fixed points on the orbifold T2/ZN. The formula is shown to hold for any pattern.

中文翻译:

Orbifold 紧缩中的零模式计数公式和零

受 Atiyah-Singer 指数定理的启发,我们彻底分析了具有磁通量背景的环形轨道 T2/ZN(N=2,3,4,6) 上独立零模态的数量及其零点。我们首先展示属于 ZN 特征值 η 的轨道折叠零模式的数量 nη 的完整列表。由于事实证明 nη 非常复杂地取决于通量量子 M、Scherk-Schwarz 扭曲相位 (α1,α2) 和 ZN 特征值 η,似乎很难用一个简单的公式来普遍解释 nη。然而,我们成功地找到了一个单一的零模式计数公式 nη=(M-Vη)/N+1,其中 Vη 表示轨道 T2/ZN 上固定点处的绕组数之和。该公式显示为适用于任何模式。
更新日期:2020-07-10
down
wechat
bug