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Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere
Authors:LIU Yu-Xiao ZHANG Li-Jie DUAN Yi-Shi
Affiliation:1. Institute of Theoretical Physics, LanzhouUniversity, Lanzhou 730000, China;2. Department of Physics, Shanghai University, Shanghai 200444, China
Abstract:
In this letter we study fermionic zero modes in gauge and gravitybackgrounds taking a two-dimensional compact manifold S2 asextra dimensions. The result is that there exist massless Diracfermions which have normalizable zero modes under quite generalassumptions about these backgrounds on the bulk. Several specialcases of gauge background on the sphere are discussed and somesimple fermionic zero modes are obtained.
Keywords:extra dimensions; fermionic zero modes
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