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A note on hidden classes in spinor classification

delete2025-04-02
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PRE
AI
R
R. J. Bueno Rogerio *
R
R. T. Cavalcanti
C
C. H. Coronado Villalobos
J
J. M. Hoff da Silva
DOI:10.1098/rspa.2024.0458delete
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Abstract

Abstract

En 中文
The Lounesto classification is a well-established scheme for categorizing spinors based on their physical content, determined by their associated bilinear forms. It consists of six disjoint classes encompassing the known spinors within the context of the standard model of high-energy physics. However, advancements in theories beyond the standard model have opened the door to potential new spinorial adjoint structures, leading to new unforeseen classes. These developments indicate the potential for extending the standard Lounesto classification. This paper explores all possible subclasses that could extend the Lounesto scheme. We highlight the most relevant subclasses by imposing constraints on their corresponding dual structures, thus broadening our understanding of spinors and their applications in theoretical physics.
Keywords:
Lounesto classification
dual structure
discrete symmetries
spinors

Journal

P
Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences
IF:
3
Papers:
403
Citations:
2.5W

Organization

U
Univ Estadual Paulista UNESP
Scholars:
104
Papers: 44
Citations: 15
U
univ tecnol peru utp
Scholars:
6
Papers: 4
Citations: 0
C
ctr univ unifaat
Scholars:
1
Papers: 2
Citations: 0
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