Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Restricted Inomata-McKinley spinor-plane, homotopic deformations and
  the Lounesto classification   We 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 accomodates 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
an algebraic-topological link between these spinors. 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 analising the bilinear covariant structures
one by one.

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The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th