Elko spinor fields: Lagrangians for gravity derived from supergravity

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.contributorUniversidade Federal do ABC (UFABC)-
Autor(es): dc.contributorUniversidade Estadual Paulista (UNESP)-
Autor(es): dc.creatorDa Rocha, Roldão-
Autor(es): dc.creatorHoff Da Silva, J. M.-
Data de aceite: dc.date.accessioned2025-08-21T18:30:41Z-
Data de disponibilização: dc.date.available2025-08-21T18:30:41Z-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2022-04-28-
Data de envio: dc.date.issued2009-06-17-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1142/S0219887809003618-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/225493-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/225493-
Descrição: dc.descriptionDual-helicity eigenspinors of the charge conjugation operator (ELKO spinor fields) belong - together with Majorana spinor fields - to a wider class of spinor fields, the so-called flagpole spinor fields, corresponding to the class-(5), according to Lounesto spinor field classification based on the relations and values taken by their associated bilinear covariants. There exists only six such disjoint classes: the first three corresponding to Dirac spinor fields, and the other three respectively corresponding to flagpole, flag-dipole and Weyl spinor fields. Using the mapping from ELKO spinor fields to the three classes Dirac spinor fields, it is shown that the Einstein-Hilbert, the Einstein-Palatini, and the Holst actions can be derived from the Quadratic Spinor Lagrangian (QSL), as the prime Lagrangian for supergravity. The Holst action is related to the Ashtekar's quantum gravity formulation. To each one of these classes, there corresponds a unique kind of action for a covariant gravity theory. Furthermore we consider the necessary and sufficient conditions to map Dirac spinor fields (DSFs) to ELKO, in order to naturally extend the Standard Model to spinor fields possessing mass dimension one. As ELKO is a prime candidate to describe dark matter and can be obtained from the DSFs, via a mapping explicitly constructed that does not preserve spinor field classes, we prove that - in particular - the Einstein-Hilbert, Einstein-Palatini, and Holst actions can be derived from the QSL, as a fundamental Lagrangian for supergravity, via ELKO spinor fields. The geometric meaning of the mass dimension-transmuting operator - leading ELKO Lagrangian into the Dirac Lagrangian - is also pointed out, together with its relationship to the instanton Hopf fibration. © 2009 World Scientific Publishing Company.-
Descrição: dc.descriptionCentro de Matemática, Computação e Cognição Universidade Federal do ABC, 09210-170 Santo André, SP-
Descrição: dc.descriptionInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145 01405-900, São Paulo, SP-
Descrição: dc.descriptionInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145 01405-900, São Paulo, SP-
Formato: dc.format461-477-
Idioma: dc.languageen-
Relação: dc.relationInternational Journal of Geometric Methods in Modern Physics-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectEinstein-Hilbert action-
Palavras-chave: dc.subjectELKO spinor fields-
Palavras-chave: dc.subjectQuadratic Spinor Lagrangian-
Palavras-chave: dc.subjectSpin-Clifford bundles-
Palavras-chave: dc.subjectSupergravity-
Título: dc.titleElko spinor fields: Lagrangians for gravity derived from supergravity-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

Não existem arquivos associados a este item.