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We construct brane solutions in six dimensional Einstein-Skyrme systems. Aclass of baby skyrmion solutions realize warped compactification of the extradimensions and gravity localization on the brane for negative bulk cosmologicalconstant. Coupling of the fermions with the brane skyrmions successfully leadto the brane localized fermions. The standard representation of the gammamatrices is used to obtain massive localized modes as well as the massless one.Nonlinear nature of the skyrmions brings richer information for the fermionslevel structure. In terms of the level crossing picture, emergence of themassive localized modes as well as the zero mode are observed.

Fermions in gravity and the skyrmion backgrounds in six dimensional brane-worlds