On the orbit types of the action of the gauge group on connections modulo pointed gauge transformations

DOI10.1016/S0034-4877(02)80047-7zbMath1030.53027MaRDI QIDQ1809932

Gerd Rudolph, Matthias Schmidt

Publication date: 9 February 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

stratificationHasse diagramorbit typesgauge orbit spacenongeneric strataHowe subgrouppointed gauge group

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Group actions and symmetry properties (58D19) Connections (general theory) (53C05)

Related Items (1)

Gauge orbit types for theories with gauge group \(O(n)\), \(SO(n)\) or \(Sp(n)\)

Cites Work

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• Geometric structure on the orbit space of gauge connections
• Orbifolds as configuration spaces of systems with gauge symmetries
• The internal symmetry group of a connection on a principal fiber bundle with applications to gauge field theories
• On Howe's duality theorem
• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Symmetry and bifurcations of momentum mappings
• Some remarks on the Gribov ambiguity
• Classification and partial ordering of reductive Howe dual pairs of classical Lie groups
• Partial ordering of gauge orbit types for SU\(_n\)-gauge theories
• Classification of Gauge orbit types for SU(\(n\))-Gauge theories
• Dirac operators coupled to vector potentials

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