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Type: Journal article
Title: Fractional quantum numbers, complex orbifolds and noncommutative geometry
Author: Varghese, M.
Wilkin, G.
Citation: Journal of Physics A: Mathematical and Theoretical, 2021; 54(31):314001-1-314001-18
Publisher: IOP Publishing
Issue Date: 2021
ISSN: 1751-8113
Statement of
Mathai Varghese and Graeme Wilkin
Abstract: This paper studies the conductance on the universal homology covering space Z of 2D orbifolds in a strong magnetic field, thereby removing the rationality constraint on the magnetic field in earlier works [3, 29, 25] in the literature. We consider a natural Landau Hamiltonian on Z and study its spectrum which we prove consists of a finite number of low- lying isolated points and calculate the von Neumann degree of the associated holomorphic spectral orbibundles when the magnetic field B is large, and obtain fractional quantum numbers as the conductance.
Keywords: fractional quantum numbers; Riemann orbifolds; holomorphic orbibundles; orbifold Nahm transform
Description: Published 1 July 2021
Rights: © 2021 IOP Publishing Ltd.
DOI: 10.1088/1751-8121/ac0b8c
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Mathematical Sciences publications

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