Non-Abelian statistics versus the Witten anomaly
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McGreevy-2011-Non-Abelian statistics versus the Witten.pdf
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Author(s)
McGreevy, John
Swingle, Brian Gordon
Date Issued
September 2011
Journal
Physical Review D
Publisher
American Physical Society
Citation
McGreevy, John, and Brian Swingle. “Non-Abelian statistics versus the Witten anomaly.” Physical Review D 84.6 (2011) © 2011 American Physical Society
Version
Final published version
Abstract
This paper is motivated by prospects for non-Abelian statistics of deconfined particlelike objects in 3+1 dimensions, realized as solitons with localized Majorana zero modes. To this end, we study the fermionic collective coordinates of magnetic monopoles in 3+1-dimensional spontaneously-broken SU(2) gauge theories with various spectra of fermions. We argue that a single Majorana zero mode of the monopole is not compatible with cancellation of the Witten SU(2) anomaly. We also compare this approach with other attempts to realize deconfined non-Abelian objects in 3+1 dimensions.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PhysRevD.84.065019
