A Topological Criterion for Alice Strings

Details A Topological Criterion for Alice Strings A Topological Criterion for Alice Strings

2003-04-17

arxiv.org/abs/hep-th/0304161v2

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, text + 2 eps files submitted 4/17/03, revised 12/5/03: technical qualification added, introduction focused

Scientific paper

Symmetry breaking can produce ``Alice'' strings, which alter scattered charges and carry monopole number and charge when twisted into loops. Alice behavior arises algebraically, when a string's untraced Wilson loop obstructs unbroken symmetries -- a fragile criterion. We give a topological criterion, compelling Alice behavior or deforming it away. Our criterion, that \pi_o(H) acts nontrivially on \pi_1(H), links topologically Alice strings to topological monopoles. We twist Alice loops to form monopoles, and find nematic and He-3A Alice strings are topologically Alice, carrying fundamental monopole charge when twisted into loops.

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