Papers

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From vertex operator algebras to conformal nets and back

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo, Mihaly Weiner
March 04, 2015
conformal qft, vertex operator algebras
open access link Memoirs of the American Mathematical Society 254 (2018), no. 1213, vi + 85

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

$N=2$ superconformal nets

Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo, Feng Xu
July 10, 2012
open access link Communications in Mathematical Physics 336 (2015), no. 3, 1285-1328

How to add a boundary condition

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
May 17, 2012
open access link Communications in Mathematical Physics 322 (2013), no. 1, 149-166

On the Jones index values for conformal subnets

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
February 19, 2010
open access link
Lett. Math. Phys. 92 (2010) 99-108

Spectral triples and the super-Virasoro algebra

Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo
November 25, 2008
spectral triples, super-Virasoro algebra, Ramond algebra, Neveu-Schwarz algebra
open access link Commun.Math.Phys.295:71-97,2010

Structure and Classification of Superconformal Nets

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo
May 24, 2007
open access link Annales Henri Poincare 9:1069-1121,2008

The classification of non-local chiral CFT with $c<1$

Yasuyuki Kawahigashi, Roberto Longo, Ulrich Pennig, Karl-Henning Rehren
May 08, 2005
open access link Commun.Math.Phys.271:375-385,2007

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