Papers

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Distortion for multifactor bimodules and representations of multifusion categories

Marcel Bischoff, Ian Charlesworth, Samuel Evington, Luca Giorgetti, David Penneys
October 02, 2020
open access link

Compact Hypergroups from Discrete Subfactors

Marcel Bischoff, Simone Del Vecchio, Luca Giorgetti
July 24, 2020
open access link Journal of Functional Analysis 281(1), 109004 (2021)

The hypergroupoid of boundary conditions for local quantum observables

Marcel Bischoff, Karl-Henning Rehren
December 09, 2016
algebraic quantum field theory, hypergroups, defect, boundary conditions
open access link Adv. Stud. Pure Math. 80 (2019) 23-42

Generalized Orbifold Construction for Conformal Nets

Marcel Bischoff
July 31, 2016
conformal nets, completely rational nets, chiral conformal field theory
open access link Rev. Math. Phys. 29(01), 1750002 (2017)

A Remark on CFT Realization of Quantum Doubles of Subfactors. Case Index < 4

Marcel Bischoff
June 08, 2015
rational conformal field theories, chiral conformal field theory, subfactors, conformal nets
open access link Lett Math Phys 106(3), 341-363 (2016)

Characterization of 2D rational local conformal nets and its boundary conditions: the maximal case

Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo
October 31, 2014
open access link

Tensor categories and endomorphisms of von Neumann algebras (with applications to Quantum Field Theory)

Marcel Bischoff, Roberto Longo, Yasuyuki Kawahigashi, Karl-Henning Rehren
July 17, 2014
open access link SpringerBriefs in Mathematical Physics 3, 2015

Phase boundaries in algebraic conformal QFT

Marcel Bischoff, Yasuyuki Kawahigashi, Roberto Longo, Karl-Henning Rehren
May 30, 2014
rational conformal field theories, algebraic quantum field theory, boundary conditions, defects, phase boundaries
open access link Commun. Math. Phys. 342 (2016) 1-45

Integrable QFT and Longo-Witten endomorphisms

Marcel Bischoff, Yoh Tanimoto
May 09, 2013
open access link Ann. Henri Poincar\'e, Vol. 16, Issue 2 (2015), 569-608

Construction of wedge-local nets of observables through Longo-Witten endomorphisms. II

Marcel Bischoff, Yoh Tanimoto
November 07, 2011
2D QFT, wedge-local nets, interacting models
open access link Commun. in Math. Phys. 317 (3), 2013 p. 667-695 (open access)

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