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In a warped 6D world with an extra 2-dimensional sphere, we propose anexactly solvable model for fermion masses with zero mode. The warp factor isgiven by $\phi (\theta ,\varphi )=\sin{\theta }\cos{\varphi }$, which is asolution to the 6D Einstein equation with the bulk cosmological constant$\Lambda $ and the energy-momentum tensor of the bulk matter fields. Our modelprovides another possibility of obtaining fermion zero mode, rather thantraditional model based on Dirac's monopole.

A Solvable Model for Fermion Masses on a Warped 6D World with the Extra 2D Sphere