English

Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere

High Energy Physics - Theory 2008-11-26 v4

Abstract

In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold S2S^2 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 are discussed and some simple fermionic zero modes are obtained.

Keywords

Cite

@article{arxiv.0709.4369,
  title  = {Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere},
  author = {Yu-Xiao Liu and Li-Jie Zhang and Yi-Shi Duan},
  journal= {arXiv preprint arXiv:0709.4369},
  year   = {2008}
}

Comments

8 pages, no figures, accepted by Commun. Theor. Phys; V4: one reference added

R2 v1 2026-06-21T09:22:50.138Z