Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory

Mathieu, Philippe; Murray, Laura; Schenkel, Alexander; Teh, Nicholas J.

Abstract

We provide an elegant homological construction of the extended phase space for linear Yang-Mills theory on an oriented and time-oriented Lorentzian manifold M with a time-like boundary @M that was proposed by Donnelly and Freidel [JHEP 1609, 102 (2016)]. This explains and formalizes many of the rather ad hoc constructions for edge modes appearing in the theoretical physics literature. Our construction also applies to linear Chern-Simons theory, in which case we obtain the extended phase space introduced by Geiller.

Citation

Mathieu, P., Murray, L., Schenkel, A., & Teh, N. J. (2020). Homological perspective on edge modes in linear Yang–Mills and Chern–Simons theory. Letters in Mathematical Physics, 110, 1559–1584. https://doi.org/10.1007/s11005-020-01269-x

• Journal Article Type: Article
• Acceptance Date: Feb 7, 2020
• Online Publication Date: Feb 21, 2020
• Publication Date: 2020-07
• Deposit Date: Feb 17, 2020
• Publicly Available Date: Feb 22, 2021
• Journal: Letters in Mathematical Physics
• Print ISSN: 0377-9017
• Electronic ISSN: 1573-0530
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 110
• Pages: 1559–1584
• DOI: https://doi.org/10.1007/s11005-020-01269-x
• Keywords: Mathematical Physics; Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/3977651
• Publisher URL: https://link.springer.com/article/10.1007/s11005-020-01269-x
• Additional Information: Received: 2 August 2019; Revised: 10 January 2020; Accepted: 7 February 2020; First Online: 21 February 2020; : ; : On behalf of all authors, the corresponding author states that there is no conflict of interest.