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arXiv · 1208.6341

Non-axisymmetric baby-skyrmion branes

Térence Delsate·Masahiro Hayasaka·Nobuyuki Sawado
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Abstract

We investigate the existence of non axisymmetric solutions in the 6-dimensional baby-Skyrme brane model. The brane is described by a localized solution to the baby-Skyrme model extending in the extra dimensions. Such non symmetric branes have already been constructed in the original 2+1-dimensional baby-Skyrme model in flat space. We generalize this result to the case of gravitating baby-Skyrme and in the context of extradimensions. These non-trivial deformation from the axisymmetric shape appear for higher values of the topological charge, so we consider the cases of $B=3,4$, where $B$ is the topological charge. We solve the coupled system of the Einstein and baby-Skyrme equations by successive over relaxation method. We argue that the result may be a possible resolution for the fermion mass hierarchy puzzle.

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Térence Delsate, Masahiro Hayasaka, Nobuyuki Sawado. 2012-08-31. Non-axisymmetric baby-skyrmion branes. https://doi.org/10.1103/physrevd.86.125009

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