On a Certain Stratification of the Gauge Orbit Space

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dc.creatorRudolph, G.
dc.creatorSchmidt, M.
dc.date2001-04-18
dc.date.accessioned2026-07-07T04:28:25Z
dc.date.available2026-07-07T04:28:25Z
dc.descriptionFor a principal $\rmSU(n)$-bundle over a compact manifold of dimension $2,3,4$, we determine the orbit types of the action of the gauge group on the space of connections modulo pointed local gauge transformations. We find that they are given by Howe subgroups of $\rmSU(n)$ for which a certain characteristic equation is solvable. Depending on the base manifold, this equation leads to a linear, bilinear, or quadratic Diophantine equation.
dc.description12 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math-ph/0104026
dc.identifierhttp://arxiv.org/abs/math-ph/0104026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56779
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.subject53C05, 53C80
dc.titleOn a Certain Stratification of the Gauge Orbit Space
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