Towards integrable perturbation of \(2d\) CFT on de Sitter space

DOI10.1007/s11005-023-01709-4arXiv2301.12468OpenAlexW4385665585MaRDI QIDQ6072943

Yoh Tanimoto, Christian D. Jäkel

Publication date: 15 September 2023

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2301.12468

zbMATH Keywords

conformal field theoryde Sitter spaceprimary fieldsmodular Hamiltonianintegrable perturbationgeodesic KMS condition

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60)

Related Items

Wightman fields for two-dimensional conformal field theories with pointed representation category

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A generalized vertex operator algebra for Heisenberg intertwiners
• An algebraic version of Haag's theorem
• Modular structure and duality in conformal quantum field theory
• On the representation theory of Virasoro nets
• Classification of two-dimensional local conformal nets with \(c<1\) and 2-cohomology vanishing for tensor categories
• A converse Hawking-Unruh effect and \(dS^2\) correspondence
• Chiral observables and modular invariants.
• The Haag-Kastler axioms for the \(\mathcal P(\varphi)_2\) model on the de Sitter space
• Scale and Möbius covariance in two-dimensional Haag-Kastler net
• Conformal covariance and the split property
• On unitary ray representations of continuous groups
• From Vertex Operator Algebras to Conformal Nets and Back
• NETS OF SUBFACTORS
• A Course of Modern Analysis
• The λφ24 Quantum Field Theory without Cutoffs. IV. Perturbations of the Hamiltonian
• The 𝒫(𝜑)₂ Model on de Sitter Space
• The current algebra on the circle as a germ of local field theories
• Unitary representations of the \(\mathcal{W}_3\)-algebra with \(c \geq 2\)