Quantization of Magnetic Poisson Structures: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

Richard J. Szabo

doi:10.1002/prop.201910022

Quantization of Magnetic Poisson Structures: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

Richard J. Szabo^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

106 Downloads (Pure)

Abstract

We describe three perspectives on higher quantization, using the example of magnetic Poisson structures which embody recent discussions of nonassociativity in quantum mechanics with magnetic monopoles and string theory with non-geometric fluxes. We survey approaches based on deformation quantization of twisted Poisson structures, symplectic realization of almost symplectic structures, and geometric quantization using 2-Hilbert spaces of sections of suitable bundle gerbes. We compare and contrast these perspectives, describing their advantages and shortcomings in each case, and mention many open avenues for investigation.

Original language	English
Article number	1910022
Journal	Fortschritte der Physik
Volume	67
Issue number	8-9
Early online date	14 Jun 2019
DOIs	https://doi.org/10.1002/prop.201910022
Publication status	Published - Aug 2019

Keywords

bundle gerbes
higher quantization
magnetic monopoles
non-geometric strings
nonassociative geometry

ASJC Scopus subject areas

General Physics and Astronomy

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10.1002/prop.201910022

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This is the peer reviewed version of the following article: Szabo, R. J., Quantization of Magnetic Poisson Structures. Fortschr. Phys. 2019, 1910022, which has been published in final form at https://doi.org/10.1002/prop.201910022 This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.
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KW - magnetic monopoles

KW - non-geometric strings

KW - nonassociative geometry

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Quantization of Magnetic Poisson Structures: LMS/EPSRC Durham Symposium on Higher Structures in M-Theory

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Keywords

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