Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks

• Autores: Coronado Villalobos, Carlos Hugo, Bueno Rogerio, R.J., Cavalcanti, R.T., Hoff da Silva, J.M.
• Formato: artículo
• Fecha de Publicación: 2023
• Institución: Universidad Tecnológica del Perú
• Repositorio: UTP-Institucional
• Lenguaje: inglés
• OAI Identifier: oai:repositorio.utp.edu.pe:20.500.12867/7777
• Enlace del recurso: https://hdl.handle.net/20.500.12867/7777; https://doi.org/10.1016/j.physleta.2023.129028
• Nivel de acceso: acceso abierto
• Materia: Discrete symmetry; Lounesto classification; Dual structure (Physics); https://purl.org/pe-repo/ocde/ford#1.03.00

The so-called Takahashi’s Inversion Theorem, the reconstruction of a given spinor based on its bilinear covariants, are re-examined, considering alternative dual structures. In contrast to the classical results, where the Dirac dual structure plays the central role, new duals are built using the discrete symmetries C,P,T . Their combinations are also taken into account. Furthermore, the imposition of a new adjoint structure led us also to re-examine the representation of the Clifford algebra basis elements, uncovering new bilinear structures and a new Fierz aggregate. Those results might help construct theories for new beyond standard model fields