New fermions in the bulk

Autor(es)

de Brito, K. P. S. ; da Rocha, Roldao

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 49, n. 41 OCT 2016.
• Citações Web of Science: 9

Resumo

The spinor fields on 5-dimensional Lorentzian manifolds are classified according to the geometric Fierz identities, which involve their bilinear covariants. Based upon this classification, which generalises the celebrated 4-dimensional Lounesto classification of spinor fields, new non-trivial classes of 5-dimensional spinor fields are hence found, with important potential applications regarding bulk fermions and their subsequent localisation on brane-worlds. In addition, quaternionic bilinear covariants are used to derive the quaternionic spin density through the truncated exterior bundle. In order to accomplish the realisation of these new spinors, a Killing vector field is constructed on the horizon of a 5-dimensional Kerr black hole. This Killing vector field is shown to reach the time-like Killing vector field at spatial infinity through a current 1-form density, constructed with the new derived spinor fields. The current density is, moreover, expressed as the funfbein component, assuming a condensed form. (AU)

• Processo FAPESP: 15/10270-0 - Correspondência fluido / gravidade e aplicações
• Beneficiário: Roldão da Rocha
• Modalidade de apoio: Auxílio à Pesquisa - Regular