https://doi.org/10.1140/epjp/s13360-026-07437-7
Regular Article
A covariant framework for generalized spinor dual structures
1
Centro Universitário UNIFAAT, 12954-070, Atibaia-SP, Brazil
2
Instituto de Matemática e Estatística, Universidade do Estado do Rio de Janeiro (UERJ), 20550-900, Rio de Janeiro-RJ, Brazil
3
Faculdade de Engenharia de Guaratinguetá, Universidade Estadual de São Paulo (Unesp), 12516-410, Guaratinguetá-SP, Brazil
4
DIME, Università di Genova, Via all’Opera Pia 15, 16145, Genova, Italy
5
INFN, Sezione di Genova, Via Dodecaneso 33, 16146, Genova, Italy
6
GNFM, Istituto Nazionale di Alta Matematica, P.le Aldo Moro 5, 00185, Roma, Italy
a
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Received:
5
June
2025
Accepted:
12
February
2026
Published online:
25
February
2026
Abstract
In this work, we propose a novel framework for defining the dual structure of a spinor. This construction relies on the basis elements of the Clifford algebra, leading to a covariant structure that embeds the dual. The formulation includes free parameters that may be adjusted to meet specific requirements. Remarkably, it enables the explicit construction of representatives for each class within a recently proposed general classification of spinors. In addition to recovering known results, the formalism paves the way for the development of potential new theories in a manifestly covariant setting.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2026
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
