The restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification

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Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorBeghetto, D.-
Autor(es): dc.creatorRogerio, R. J. Bueno-
Autor(es): dc.creatorVillalobos, C. H. Coronado-
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Descrição: dc.descriptionCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)-
Descrição: dc.descriptionConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)-
Descrição: dc.descriptionCNPq: 155675/2018-4-
Descrição: dc.descriptionCNPq: 300381/2018-2-
Descrição: dc.descriptionWe define a two-dimensional space called the spinor-plane, where all spinors that can be decomposed in terms of Restricted Inomata-McKinley (RIM) spinors reside, and describe some of its properties. Some interesting results concerning the construction of RIM-decomposable spinors emerge when we look at them by means of their spinor-plane representations. We show that, in particular, this space accommodates a bijective linear map between mass-dimension-one and Dirac spinor fields. As a highlight result, the spinor-plane enables us to construct homotopic equivalence relations, revealing a new point of view that can help us to give one more step toward the understanding of the spinor theory. In the end, we develop a simple method that provides the categorization of RIM-decomposable spinors in the Lounesto classification, working by means of spinor-plane coordinates, which avoids the often hard work of analyzing the bilinear covariant structures one by one.-
Idioma: dc.languageen-
Relação: dc.relationJournal of Mathematical Physics-
Direitos: dc.rightsopenAccess-
Título: dc.titleThe restricted Inomata-McKinley spinor-plane, homotopic deformations and the Lounesto classification-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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