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

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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 languageEnglish
Article number1910022
JournalFortschritte der Physik
Volume67
Issue number8-9
Early online date14 Jun 2019
DOIs
Publication statusPublished - Aug 2019

Keywords

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

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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