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- Title
A Skeletal Model for 2d Conformal AQFTs.
- Authors
Benini, Marco; Giorgetti, Luca; Schenkel, Alexander
- Abstract
A simple model for the localization of the category CLoc 2 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.
- Subjects
ALGEBRAIC field theory; QUANTUM field theory; ALGEBRA; AXIOMS; SPACETIME
- Publication
Communications in Mathematical Physics, 2022, Vol 395, Issue 1, p269
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-022-04428-4