CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES

DOI10.1142/S0219887810004725zbMath1204.53017arXiv1004.0779OpenAlexW2164338194MaRDI QIDQ3057866

Michael K. Murray, Raymond F. Vozzo

Publication date: 17 November 2010

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.0779

zbMATH Keywords

central extensionsloop groupsbundle gerbesstring structurescaloron correspondence

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Loop groups and related constructions, group-theoretic treatment (22E67) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Characteristic classes and numbers in differential topology (57R20) Applications of global differential geometry to the sciences (53C80) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Fiber bundles in algebraic topology (55R10)

Related Items (5)

Localization for Chern-Simons on circle bundles via loop groups ⋮ The general caloron correspondence ⋮ Bundle gerbes and moduli spaces ⋮ LOOP GROUPS, STRING CLASSES AND EQUIVARIANT COHOMOLOGY ⋮ The caloron correspondence and higher string classes for loop groups

Cites Work

• Unnamed Item
• String structures and the path fibration of a group
• Orientation and string structures on loop space
• Kac-Moody monopoles and periodic instantons
• The caloron correspondence and higher string classes for loop groups
• String structures on loop bundles
• Why instantons are monopoles
• Higgs fields, bundle gerbes and string structures
• CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES
• Bundle Gerbes

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