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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Hearing the shape of inequivalent spin structures and exotic Dirac operators

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Author(s):
da Rocha, R. [1] ; Tomaz, A. A. [1, 2]
Total Authors: 2
Affiliation:
[1] Fed Univ ABC, Ctr Math, BR-09580210 Santo Andre, SP - Brazil
[2] Fluminense Fed Univ, Inst Phys, Av Litoranea, Niteroi, RJ - Brazil
Total Affiliations: 2
Document type: Journal article
Source: Journal of Physics A-Mathematical and Theoretical; v. 53, n. 46 NOV 20 2020.
Web of Science Citations: 0
Abstract

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)

FAPESP's process: 17/18897-8 - Fluid/gravity correspondence, fermionic sectors and its ramifications
Grantee:Roldão da Rocha
Support Opportunities: Regular Research Grants