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Emergent Spinor Fields from Exotic Spin Structures

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Autor(es):
da Silva, J. M. Hoff ; da Rocha, R.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: PROGRESS OF THEORETICAL AND EXPERIMENTAL PHYSICS; v. 2024, n. 5, p. 19-pg., 2024-05-07.
Resumo

The classification of emergent spinor fields according to modified bilinear covariants is scrutinized in space-times with nontrivial topology, which induce inequivalent spin structures. Extended Clifford algebras, constructed by equipping the underlying space-time with an extended bilinear form with additional terms coming from the nontrivial topology, naturally yield emergent extended algebraic spinor fields and their subsequent extended bilinear covariants, which are contrasted to the classical spinor classification. An unexpected duality between the standard and the exotic spinor field classes is therefore established, showing that a complementary fusion process among the spinor field classes sets in, when extended Clifford bundles are addressed in multiply connected space-times. (AU)

Processo FAPESP: 22/01734-7 - Correspondências holográficas Gauge/gravidade, equações de Navier-Stokes com soft-hair e fluidos de Dirac
Beneficiário:Roldão da Rocha
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 21/01089-1 - Cherenkov Telescope Array: construção e primeiras descobertas
Beneficiário:Luiz Vitor de Souza Filho
Modalidade de apoio: Auxílio à Pesquisa - Projetos Especiais