Commuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets.

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorCariglia, Marco-
Autor(es): dc.creatorKrtous, Pavel-
Autor(es): dc.creatorKubiznak, David-
Data de aceite: dc.date.accessioned2019-11-06T13:32:16Z-
Data de disponibilização: dc.date.available2019-11-06T13:32:16Z-
Data de envio: dc.date.issued2015-04-01-
Data de envio: dc.date.issued2015-04-01-
Data de envio: dc.date.issued2011-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/4936-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/557529-
Descrição: dc.descriptionIn this paper we derive the most general first-order symmetry operator commuting with the Dirac operator in all dimensions and signatures. Such an operator splits into Clifford even and Clifford odd parts which are given in terms of odd Killing-Yano and even closed conformal Killing-Yano inhomogeneous forms, respectively. We study commutators of these symmetry operators and give necessary and sufficient conditions under which they remain of the first-order. In this specific setting we can introduce a Killing-Yano bracket, a bilinear operation acting on odd Killing-Yano and even closed conformal Killing-Yano forms, and demonstrate that it is closely related to the Schouten-Nijenhuis bracket. An important nontrivial example of vanishing Killing-Yano brackets is given by Dirac symmetry operators generated from the principal conformal Killing-Yano tensor [hep-th/0612029]. We show that among these operators one can find a complete subset of mutually commuting operators. These operators underlie separability of the Dirac equation in Kerr-NUT-(A)dS spacetimes in all dimensions [arXiv:0711.0078].-
Idioma: dc.languageen-
Direitos: dc.rightsPermite o arquivamento da versão PDF do editor em repositórios institucionais. Fonte: Sherpa/Romeo <http://www.sherpa.ac.uk/romeo/search.php?issn=0556-2821>. Acesso em: 09 fev. 2015.-
Título: dc.titleCommuting symmetry operators of the Dirac equation, Killing-Yano and Schouten-Nijenhuis brackets.-
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