Heisenberg groups and noncommutative fluxes
type: Item
instance of: scholarly article
title: Heisenberg groups and noncommutative fluxes
zbMATH Open document ID: 1115.83031
author: Daniel S. Freed
author: G. W. Moore
author: Graeme Segal
published in: Annals of Physics
publication date: 2007-02-12T00:00:00Z
full work available at URL: https://arxiv.org/abs/hep-th/0605200
review text: The paper addresses experts in supergravity and/or string theory with some knowledge of topology. It develops a group-theoretical approach to the formulation of generalized abelian gauge theories (i.e. gauge theories of higher degree differential forms). This approach has several surprising physical implications: There is an uncertainty relation which obstructs the simultaneous measurement of electric and magnetic flux when torsion fluxes are included. Self-dual fields (including the Ramond-Ramond fields of string theory) in general have fermionic sectors. It is impossible to measure the \(K\)-theory class of a Ramond-Ramond field, rather only the reduction modulo torsion can be measured. Finally it is indicated how rational conformal field theories associated with the two-dimensional Gaussian model generate \((4k+2)\)-dimensional conformal field theories.
Mathematics Subject Classification ID: 83E30
Mathematics Subject Classification ID: 83E50
Mathematics Subject Classification ID: 81T30
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 5124493
zbMATH Keywords: generalized abelian gauge theories
zbMATH Keywords: Ramond-Ramond fields
zbMATH Keywords: uncertainty principle
zbMATH Keywords: gauge theory
zbMATH Keywords: string theory
zbMATH Keywords: topology
reviewed by: Helmut Rumpf
MaRDI profile type: Publication
OpenAlex ID: W3101099859
arXiv ID: hep-th/0605200
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DOI: 10.1016/J.AOP.2006.07.014
description: scientific article