@Article{BeghettoRogeVill:2019:ReInSp,
author = "Beghetto, D. and Rogerio, R. J. Bueno and Villalobos, Carlos Hugo
Coronado",
affiliation = "{Universidade Estadual Paulista (UNESP)} and {Universidade Federal
de Itajub{\'a} (UNIFEI)} and {Instituto Nacional de Pesquisas
Espaciais (INPE)}",
title = "The restricted Inomata-McKinley spinor-plane, homotopic
deformations and the Lounesto classification",
journal = "Journal of Mathematical Physics",
year = "2019",
volume = "60",
number = "4",
pages = "042301",
month = "Apr.",
abstract = "We define a two-dimensional space called the spinor-plane, where
all spinors that can be decomposed in terms of Restricted
InomataMcKinley (RIM) spinors reside, and describe some of its
properties. Some interesting results concerning the construction
of RIMdecomposable 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.",
doi = "10.1063/1.5086440",
url = "http://dx.doi.org/10.1063/1.5086440",
issn = "0022-2488",
language = "en",
targetfile = "1.5086440.pdf",
urlaccessdate = "20 abr. 2024"
}