Hearing the shape of inequivalent spin structures and exotic Dirac operators

Autor(es)

da Rocha, R. ^[1] ; Tomaz, A. A. ^{[1, 2]}

Afiliação do(s) autor(es)

^[1] Fed Univ ABC, Ctr Math, BR-09580210 Santo Andre, SP - Brazil

^[2] Fluminense Fed Univ, Inst Phys, Av Litoranea, Niteroi, RJ - Brazil

• Tipo de documento: Artigo Científico
• Fonte: Journal of Physics A-Mathematical and Theoretical; v. 53, n. 46 NOV 20 2020.
• Citações Web of Science: 0

Resumo

Exotic spinor fields arise from inequivalent spin structures on non-trivial topological manifolds, M. This induces an additional term in the Dirac operator, defined by the cohomology group H-1(M,Z(2)) that rules Cech cohomology class. This formalism is extended for manifolds of any finite dimension, endowed with a metric of arbitrary signature. The exotic corrections to heat kernel coefficients, relating spectral properties of exotic Dirac operators to the geometric invariants of M, are derived and scrutinized. (AU)

• Processo FAPESP: 17/18897-8 - Correspondência fluido/gravidade, setores fermiônicos e suas ramificações
• Beneficiário: Roldão da Rocha
• Modalidade de apoio: Auxílio à Pesquisa - Regular