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

TL;DR

This paper constructs six-dimensional brane solutions with Skyrme fields that localize gravity and fermions, revealing a rich structure of fermionic modes including zero and massive states.

Contribution

It introduces a novel six-dimensional Einstein-Skyrme brane model that successfully localizes fermions and explores their spectrum using a level crossing approach.

Findings

Gravity is localized on the brane with negative bulk cosmological constant.

Fermions couple to skyrmions, resulting in localized zero and massive modes.

The nonlinear skyrmion background enriches the fermion spectrum.

Abstract

We construct brane solutions in six dimensional Einstein-Skyrme systems. A class of baby skyrmion solutions realize warped compactification of the extra dimensions and gravity localization on the brane for negative bulk cosmological constant. Coupling of the fermions with the brane skyrmions successfully lead to the brane localized fermions. The standard representation of the gamma matrices is used to obtain massive localized modes as well as the massless one. Nonlinear nature of the skyrmions brings richer information for the fermions level structure. In terms of the level crossing picture, emergence of the massive localized modes as well as the zero mode are observed.