Non-Abelian statistics versus the Witten anomaly
Author(s)
McGreevy, John; Swingle, Brian Gordon
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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.
Date issued
2011-09Department
Massachusetts Institute of Technology. Department of PhysicsJournal
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
ISSN
1550-7998
1550-2368