Non-Abelian statistics versus the Witten anomaly

Details Non-Abelian statistics versus the Witten anomaly Non-Abelian statistics versus the Witten anomaly

2011-05-31

arxiv.org/abs/1106.0004v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 3 figures; v2: added refs, minor corrections, published version

Scientific paper

This paper is motivated by prospects for non-Abelian statistics of deconfined particle-like objects in 3+1 dimensions, realized as solitons with localized Majorana zeromodes. 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 zeromode 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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