2009/12/10 by Roberto Longo, ROBERTO LONGO, Pierre Martinetti +3 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boundary (topology) #Boundary conformal field theory #Conformal field theory #Conformal map #Disjoint sets #Field (mathematics) #Modular design #Quantum field theory #hep-th #math-ph #math.MP #msc:81T40
paper · pdf · doi:10.1142/s0129055x10003977
published as Rev.Math.Phys.22:331-354,2010 · Dedicated to John E. Roberts on the occasion of his 70th birthday; 24 pages, 3 figures
arxiv created 2009/12/10 · openalex publication_date 2010/04/01 · arxiv updated 2010/04/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In suitable states, the modular group of local algebras associated with unions of disjoint intervals in chiral conformal quantum field theory acts geometrically. We translate this result into the setting of boundary conformal QFT and interpret it as a relation between temperature and acceleration. We also discuss novel aspects ("mixing" and "charge splitting") of geometric modular action for unions of disjoint intervals in the vacuum state.