The Linear CS/WZW Bulk/Boundary System in AQFT

Benini, Marco; Grant-Stuart, Alastair; Schenkel, Alexander

Abstract

This paper constructs in the framework of algebraic quantum field theory (AQFT) the linear Chern–Simons/Wess–Zumino–Witten system on a class of 3-manifolds M whose boundary ∂M is endowed with a Lorentzian metric. It is proven that this AQFT is equivalent to a dimensionally reduced AQFT on a 2-dimensional manifold B, whose restriction to the 1-dimensional boundary ∂B is weakly equivalent to a chiral free boson.

Citation

Benini, M., Grant-Stuart, A., & Schenkel, A. (2024). The Linear CS/WZW Bulk/Boundary System in AQFT. Annales Henri Poincaré, 25, 2251-2294. https://doi.org/10.1007/s00023-023-01346-6

• Journal Article Type: Article
• Acceptance Date: Jun 26, 2023
• Online Publication Date: Jul 20, 2023
• Publication Date: Apr 1, 2024
• Deposit Date: Jul 24, 2023
• Publicly Available Date: Jul 24, 2023
• Journal: Annales Henri Poincaré
• Print ISSN: 1424-0637
• Electronic ISSN: 1424-0661
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 25
• Pages: 2251-2294
• DOI: https://doi.org/10.1007/s00023-023-01346-6
• Keywords: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
• Public URL: https://nottingham-repository.worktribe.com/output/23220162
• Publisher URL: https://link.springer.com/article/10.1007/s00023-023-01346-6