The general caloron correspondence

Abstract

We outline in detail the general caloron correspondence for the group of automorphisms of an arbitrary principal $G$-bundle $Q$ over a manifold $X$, including the case of the gauge group of $Q$. These results are used to define characteristic classes of gauge group bundles. Explicit but complicated differential form representatives are computed in terms of a connection and Higgs field.

25 pages. New section added containing examples

References in corpus (4)

• The caloron correspondence and higher string classes for loop groups
• Loop Groups, Kaluza-Klein Reduction and M-Theory
• T-Duality as a Duality of Loop Group Bundles
• Circle actions, central extensions and string structures

Cited by in corpus (6)

• Skyrmions from calorons
• Bundle gerbes and moduli spaces
• Equivariant, string and leading order characteristic classes associated to fibrations
• The Faddeev-Mickelsson-Shatashvili anomaly and lifting bundle gerbes
• The Caloron Correspondence and Odd Differential K-theory
• K-Theories for Certain Infinite Rank Bundles