NonAbelian vortices, large winding limits and Aharonov-Bohm effects
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Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used  to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to relate them to the apparently distinct phenomena of the Nielsen-Olesen-Ambjorn magnetic instabilities. Here we extend these analyses to more general types of BPS nonAbelian vortices, taking as a prototype a system with gauged U0(1) × SUℓ(N ) × SU r (N ) symmetry where the VEV of charged scalar fields in the bifundamental representation breaks the symmetry to SU(N )ℓ+r . The presence of the massless SU(N )ℓ+r gauge fields in 4D bulk introduces all sorts of non-local, topological phenomena such as the nonAbelian Aharonov-Bohm effects, which in the theory with global SU r (N ) group (g r = 0) are washed away by the strongly fluctuating orientational zeromodes in the worldsheet. Physics changes qualitatively at the moment the right gauge coupling constant gr is turned on.
KeywordsDuality in Gauge Field Theories Solitons Monopoles and Instantons Nonperturbative Effects Topological States of Matter
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