摘要
在这封信，我们学习 fermionic 在拿一个二维的协议的计量器和严肃背景的零个模式歧管 S <SUP>2</SUP> 作为额外的尺寸。结果在那里是那存在有 normalizable 的集体更少迪拉克费米子在关于体积上的这些背景的相当一般的假设下面的零个模式。范围上的计量器背景的几种特殊情况被讨论并且某简单 fermionic 零个模式被获得。
In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two-dimensional compact manifold S2 as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the sphere axe discussed and some simple fermionic zero modes are obtained.
基金
National Natural Science Foundation of China under Grant Nos.10475034 and 10705013
the Fundamental Research Fund for Physics and Mathematics of Lanzhou University under Grant No.Lzu07002
