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 |
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| container_title | Physics letters. B |
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| creator | Manton, Nicholas S. Sakai, Norisuke |
| description | 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. |
| doi_str_mv | 10.1016/j.physletb.2010.03.017 |
| format | Article |
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| ispartof | Physics letters. B, 2010-04, Vol.687 (4-5), p.395-399 |
| issn | 0370-2693 1873-2445 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | 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 |
| title | Maximally non-abelian vortices from self-dual Yang–Mills fields |
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