Maximally non-abelian vortices from self-dual Yang–Mills fields

Maximally non-abelian vortices from self-dual Yang–Mills fields

A particular dimensional reduction of SU(2N) Yang–Mills theory on Σ×S2, with Σ a Riemann surface, yields an S(U(N)×U(N)) gauge theory on Σ, with a matrix Higgs field. The SU(2N) self-dual Yang–Mills equations reduce to Bogomolny equations for vortices on Σ. These equations are formally integrable if...

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Veröffentlicht in:Physics letters. B 2010-04, Vol.687 (4-5), p.395-399
Hauptverfasser: Manton, Nicholas S., Sakai, Norisuke
Format: Artikel
Sprache:eng
Schlagworte:
Dimensional reduction
Elementary particles
Exact sciences and technology
Fluid flow
Gauge theory
Hyperbolic vortices
Master equations
Mathematical analysis
Non-abelian vortices
Nuclear physics
Physics
Planes
Riemann surfaces
Self-dual Yang–Mills fields
The physics of elementary particles and fields
Vortices
Yang-Mills theory
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Zusammenfassung:A particular dimensional reduction of SU(2N) Yang–Mills theory on Σ×S2, with Σ a Riemann surface, yields an S(U(N)×U(N)) gauge theory on Σ, with a matrix Higgs field. The SU(2N) self-dual Yang–Mills equations reduce to Bogomolny equations for vortices on Σ. These equations are formally integrable if Σ is the hyperbolic plane, and we present a subclass of solutions.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2010.03.017