Homotopy colimits and global observables in Abelian gauge theory

Benini, Marco; Schenkel, Alexander; Szabo, Richard J.

Abstract

We study chain complexes of field configurations and observables for Abelian gauge theory on contractible manifolds, and show that they can be extended to non-contractible manifolds by using techniques from homotopy theory. The extension prescription yields functors from a category of manifolds to suitable categories of chain complexes. The extended functors properly describe the global field and observable content of Abelian gauge theory, while the original gauge field configurations and observables on contractible manifolds are recovered up to a natural weak equivalence.

Citation

Benini, M., Schenkel, A., & Szabo, R. J. (2015). Homotopy colimits and global observables in Abelian gauge theory. Letters in Mathematical Physics, 105(9), https://doi.org/10.1007/s11005-015-0765-y

• Journal Article Type: Article
• Acceptance Date: May 7, 2015
• Online Publication Date: May 30, 2015
• Publication Date: Sep 30, 2015
• Deposit Date: Mar 6, 2017
• Publicly Available Date: Mar 6, 2017
• Journal: Letters in Mathematical Physics
• Print ISSN: 0377-9017
• Electronic ISSN: 1573-0530
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 105
• Issue: 9
• DOI: https://doi.org/10.1007/s11005-015-0765-y
• Keywords: Abelian gauge theory, global configurations and observables, chain complexes, homotopy limits and colimits
• Public URL: https://nottingham-repository.worktribe.com/output/760171
• Publisher URL: http://link.springer.com/article/10.1007%2Fs11005-015-0765-y
• Related Public URLs: https://arxiv.org/abs/1503.08839
• Additional Information: The final publication is available at Springer via http://dx.doi.org/10.1007/s11005-015-0765-y