English

Fermionic zero modes in gauge and gravity backgrounds On $T^2$

High Energy Physics - Theory 2010-11-11 v2

Abstract

In this note we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold T2T^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 torus are discussed and some simple fermionic zero modes are obtained.

Keywords

Cite

@article{arxiv.hep-th/0602157,
  title  = {Fermionic zero modes in gauge and gravity backgrounds On $T^2$},
  author = {Yi-Shi Duan and Yu-Xiao Liu and Yong-Qiang Wang},
  journal= {arXiv preprint arXiv:hep-th/0602157},
  year   = {2010}
}

Comments

8 pages, no figures, v2: more references, accepted by Mod.Phys.Lett.A