301 citations · 2.5k across the 60 of their papers we have counts for
4 papers · 1 filter
Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case
Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo
Let be a completely rational local Möbius covariant net on , which describes a set of chiral observables. We show that local Möbius covariant nets $\mathcal{B}_2…
Tensor categories and endomorphisms of von Neumann algebras (with applications to Quantum Field Theory)
Marcel Bischoff, Roberto Longo, Yasuyuki Kawahigashi +1
Q-systems describe "extensions" of an infinite von Neumann factor , i.e., finite-index unital inclusions of into another von Neumann algebra . They are (special cases of)…
Phase boundaries in algebraic conformal QFT
Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo +1
We study the structure of local algebras in relativistic conformal quantum field theory with phase boundaries. Phase boundaries are instances of a more general notion of boundaries…
Localization in Nets of Standard Spaces
Gandalf Lechner, Roberto Longo
Starting from a real standard subspace of a Hilbert space and a representation of the translation group with natural properties, we construct and analyze for each endomorphism of t…