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By using the self-dual vortex background on extra two-dimensional Riemannsurfaces in 5+1 dimensions, the localization mechanism of bulk fermions on astring-like defect with the exponentially decreasing warp-factor is obtained.We give the conditions under which localized spin 1/2 and 3/2 fermions can beobtained.

Fermions in Self-dual Vortex Background on a String-like Defect