2023/01/29 by Christian D. Jäkel, Jäkel, Christian D., Yoh Tanimoto +1
Mathematics · Physics and Astronomy · #46L60 #81T05 #81T40 #Advanced Differential Geometry Research #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2301.12468
openalex publication_date 2023/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe a procedure to deform the dynamics of a two-dimensional conformal net to possibly obtain a Haag-Kastler net on the de Sitter spacetime. The new dynamics is given by adding a primary field smeared on the time-zero circle to the Lorentz generators of the conformal net. As an example, we take an extension of the chiral U(1)-current net by a charged field with conformal dimension d < 1/4. We show that the perturbing operators are defined on a dense domain.