Marco Benini
A Skeletal Model for 2d Conformal AQFTs
Benini, Marco; Giorgetti, Luca; Schenkel, Alexander
Abstract
A simple model for the localization of the category CLoc2 of oriented and time-oriented globally hyperbolic conformal Lorentzian 2-manifolds at all Cauchy morphisms is constructed. This provides an equivalent description of 2-dimensional conformal algebraic quantum field theories (AQFTs) satisfying the time-slice axiom in terms of only two algebras, one for the 2-dimensional Minkowski spacetime and one for the flat cylinder, together with a suitable action of two copies of the orientation preserving embeddings of oriented 1-manifolds. The latter result is used to construct adjunctions between the categories of 2-dimensional and chiral conformal AQFTs whose right adjoints formalize and generalize Rehren’s chiral observables.
Citation
Benini, M., Giorgetti, L., & Schenkel, A. (2022). A Skeletal Model for 2d Conformal AQFTs. Communications in Mathematical Physics, 395(1), 269-298. https://doi.org/10.1007/s00220-022-04428-4
Journal Article Type | Article |
---|---|
Acceptance Date | May 19, 2022 |
Online Publication Date | Aug 14, 2022 |
Publication Date | 2022-10 |
Deposit Date | Aug 3, 2022 |
Publicly Available Date | Mar 28, 2024 |
Journal | Communications in Mathematical Physics |
Print ISSN | 0010-3616 |
Electronic ISSN | 1432-0916 |
Publisher | Springer Science and Business Media LLC |
Peer Reviewed | Peer Reviewed |
Volume | 395 |
Issue | 1 |
Pages | 269-298 |
DOI | https://doi.org/10.1007/s00220-022-04428-4 |
Keywords | Mathematical Physics; Statistical and Nonlinear Physics |
Public URL | https://nottingham-repository.worktribe.com/output/9583742 |
Publisher URL | https://link.springer.com/article/10.1007/s00220-022-04428-4 |
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