The general caloron correspondence

DOI10.1016/j.geomphys.2011.10.015zbMath1245.55006arXiv1105.0805OpenAlexW2106087711MaRDI QIDQ2428146

Michael K. Murray, Raymond F. Vozzo, Pedram Hekmati

Publication date: 24 April 2012

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.0805

zbMATH Keywords

caloron correspondenceinfinite-dimensional Lie group bundles

Mathematics Subject Classification ID

Equivariant fiber spaces and bundles in algebraic topology (55R91) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Fiber bundles in algebraic topology (55R10)

Related Items

Cheeger-Chern-Simons theory and differential string classes ⋮ Skyrmions from calorons ⋮ The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes ⋮ Localization for Chern-Simons on circle bundles via loop groups ⋮ Equivariant, string and leading order characteristic classes associated to fibrations ⋮ Bundle gerbes and moduli spaces

Cites Work

• Kac-Moody monopoles and periodic instantons
• The caloron correspondence and higher string classes for loop groups
• Curvature and characteristic classes
• Index theory, gerbes, and Hamiltonian quantization
• Higgs fields, bundle gerbes and string structures
• The orbit space of the action of gauge transformation group on connections
• LOOP GROUPS, STRING CLASSES AND EQUIVARIANT COHOMOLOGY
• CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES
• Complex Analytic Connections in Fibre Bundles
• Dirac operators coupled to vector potentials
• T-duality as a duality of loop group bundles
• The inverse function theorem of Nash and Moser
• The Automorphism Group of a Compact Group Action