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arXiv · 1901.11253

Fermion Localization and Degenerate Resonances on Brane Array

Qun-Ying Xie·Zhen-Hua Zhao·Jie Yang·Ke Yang
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Abstract

In this work, we consider the multi-wall braneworld arisen from multi-scalar fields, and investigate the localization and resonances of spin-1/2 fermion on the multi-walls. We build two analytic multi-wall solutions with a polynomial superpotential and a modified sine-Gordon superpotential respectively. The massless fermion is the only bound state and localized between the two outermost sub-branes. The factors affecting the number of massive resonant fermions are analyzed. What interesting is that all the fermion resonant states are non-degenerate for the cases of single- and two-walls, however, doubly-degenerate fermion resonant states emerge for the cases of three- and four-walls. This novel phenomenon could be potentially interesting in phenomenology.

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Qun-Ying Xie, Zhen-Hua Zhao, Jie Yang, Ke Yang. 2019-01-31. Fermion Localization and Degenerate Resonances on Brane Array. https://doi.org/10.1088/1361-6382%2Fab5b74

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