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

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

2006-02-16

arxiv.org/abs/hep-th/0602157v2

Mod.Phys.Lett.A21:2019-2025,2006

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217732306020068

In this note we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold $T^2$ 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.

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