Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-14
J.Phys.A34:8955-8994,2001
Physics
High Energy Physics
High Energy Physics - Theory
52 pages (Latex) + 2 postscript figures
Scientific paper
10.1088/0305-4470/34/42/316
New solutions to the abelian U(1) Higgs model, corresponding to vortices of integer and half-integer winding number bound onto the edges of domain walls and possibly surrounded by annular current flows, are described, based on a fine-grained analysis of the topology of such configurations in spacetime. The existence of these states, which saturate BPS bounds in specific limits and are quite reminiscent of D-branes and membranes in general, could have interesting and some important consequences in a wide range of physical contexts. For instance, they raise the possibility that for some regimes of couplings the usual vortex of unit winding number would split into two vortices each of one-half winding number bound by a domain wall. A similar approach may also be relevant to other known topological states of field theory.
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