Non-Abelian statistics versus the Witten anomaly
High Energy Physics - Theory
2012-10-03 v2 Mesoscale and Nanoscale Physics
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1106.0004,
title = {Non-Abelian statistics versus the Witten anomaly},
author = {John McGreevy and Brian Swingle},
journal= {arXiv preprint arXiv:1106.0004},
year = {2012}
}
Comments
11 pages, 3 figures; v2: added refs, minor corrections, published version