Higgs fields, bundle gerbes and string structures

Abstract

We use bundle gerbes and their connections and curvings to obtain an explicit formula for a de Rham representative of the string class of a loop group bundle. This is related to earlier work on calorons.

15 pages

References in corpus (2)

• Yet another construction of the central extension of the loop group
• Connections and curvings on lifting bundle gerbes

Cited by in corpus (24)

• An Invitation to Higher Gauge Theory
• Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories
• L-infinity algebra connections and applications to String- and Chern-Simons n-transport
• Fivebrane Structures
• On a generalized Connes-Hochschild-Kostant-Rosenberg theorem
• From Loop Space Mechanics to Nonabelian Strings
• Non-abelian higher gauge theory and categorical bundle
• The caloron correspondence and higher string classes for loop groups
• The general caloron correspondence
• Categorified central extensions, étale Lie 2-groups and Lie's Third Theorem for locally exponential Lie algebras
• The Loop Group of E8 and Targets for Spacetime
• Geometry of Pseudodifferential algebra bundles and Fourier Integral Operators
• T-Duality as a Duality of Loop Group Bundles
• Infinitesimal 2-braidings and differential crossed modules
• Dirac Geometry of the Holonomy Fibration
• A Geometric Model for Odd Differential K-theory
• Circle actions, central extensions and string structures
• Bundle gerbes and moduli spaces
• Loop Groups, Higgs Fields and Generalised String Classes
• Reduction of strongly equivariant bundle gerbes with connection and curving
• The Caloron Correspondence and Odd Differential K-theory
• Multiplicative Bundle Gerbes with Connection
• Explicit Non-Abelian Gerbes with Connections
• Universal string classes and equivariant cohomology