Localization of massive and massless fermion on two field brane

Farokhtabar, A.; Tofighi, A.

doi:10.48550/arxiv.1610.00899

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2019

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“…In order to solve these multi-scalar brane system, one can simply decompose the superpotential W into a sum of superpotentials W i [44,45], i.e., W = n i=1 W i (φ i ), and rewrite the warp factor A as A = n i=1 A i (y) correspondingly, then the first order equations can be reduced to…”

Section: The Modelmentioning

confidence: 99%

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Fermion localization and degenerate resonances on brane array

Xie¹,

Zhao²,

Yang³

et al. 2019

Class. Quantum Grav.

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In this work, we consider the multi-wall braneworld arisen from multiscalar 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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Section: The Modelmentioning

confidence: 99%

“…Following their work, the authors constructed a double-wall braneworld and considering the localization of spin-1/2 fermions on this model in Ref. [45].…”

Section: Introductionmentioning

confidence: 99%