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|a McGreevy, John
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|a Massachusetts Institute of Technology. Department of Physics
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|a McGreevy, John
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|a McGreevy, John
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|a Swingle, Brian Gordon
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|a Swingle, Brian Gordon
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|a Non-Abelian statistics versus the Witten anomaly
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|b American Physical Society,
|c 2012-01-25T20:24:22Z.
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|z Get fulltext
|u http://hdl.handle.net/1721.1/68656
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|a 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.
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|a United States. Dept. of Energy (cooperative research agreement DE-FG0205ER41360)
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|a Alfred P. Sloan Foundation
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|a en_US
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|a Article
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|t Physical Review D
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