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Wick-type deformation quantization of contact metric manifolds

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Autor(es):
Elfimov, Boris M. ; Sharapov, Alexey A.
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: LETTERS IN MATHEMATICAL PHYSICS; v. 114, n. 2, p. 20-pg., 2024-03-07.
Resumo

We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice. Unlike the case of symplectic or Poisson manifolds, not every classical observable on a general contact metric manifold can be promoted to a quantum one due to possible obstructions to quantization. We prove, however, that all these obstructions disappear for Sasakian manifolds. (AU)

Processo FAPESP: 22/13596-8 - As Álgebras de Homotopía nas Teorias de Gauge Não Comutativas e Gravitação de Spins Altos
Beneficiário:Vladislav Kupriyanov
Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional