CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES

Author:

MURRAY MICHAEL K.1,VOZZO RAYMOND F.1

Affiliation:

1. School of Mathematical Sciences, University of Adelaide Adelaide, SA 5005, Australia

Abstract

The caloron correspondence can be understood as an equivalence of categories between G-bundles over circle bundles and LG ⋊ρ S1-bundles where LG is the group of smooth loops in G. We use it, and lifting bundle gerbes, to derive an explicit differential form based formula for the (real) string class of an LG ⋊ρ S1-bundle.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 5 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Localization for Chern–Simons on circle bundles via loop groups;Journal of Geometry and Physics;2018-10

2. The general caloron correspondence;Journal of Geometry and Physics;2012-02

3. Bundle gerbes and moduli spaces;Journal of Geometry and Physics;2012-01

4. LOOP GROUPS, STRING CLASSES AND EQUIVARIANT COHOMOLOGY;Journal of the Australian Mathematical Society;2011-02

5. The caloron correspondence and higher string classes for loop groups;Journal of Geometry and Physics;2010-09

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