Abstract

We examine bosonic zero modes of vortices formed in the gauge breaking G\ensuremath{\rightarrow}H. For non-Abelian G, zero modes are generic. Their solutions depend on global symmetry structure. Vortices render the embedding H\ensuremath{\subset}G space dependent, with a dynamically determined subgroup H\ifmmode \tilde{}\else \~{}\fi{} single valued. They Aharonov-Bohm scatter gauge bosons associated with multivalued generators. Alice strings (H=O(2), H\ifmmode \tilde{}\else \~{}\fi{}=${\mathit{openZ}}_{2}$) attract charges and scatter SO(2) ``photons,'' and a two-string system has zero modes with unlocalizable ``Cheshire'' charge. The resulting superconductivity has novel electrodynamics.

Keywords

PhysicsAbelian groupBosonCharge (physics)Zero (linguistics)String (physics)VortexSuperconductivitySpace (punctuation)Quantum mechanicsGauge bosonGauge theoryMathematical physicsSymmetry breakingQuantum electrodynamicsCombinatorics

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Publication Info

Year
1990
Type
article
Volume
64
Issue
14
Pages
1632-1635
Citations
140
Access
Closed

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Mark Alford, Katherine Benson, Sidney Coleman et al. (1990). Interactions and excitations of non-Abelian vortices. Physical Review Letters , 64 (14) , 1632-1635. https://doi.org/10.1103/physrevlett.64.1632

Identifiers

DOI
10.1103/physrevlett.64.1632