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

Superconformal nets and noncommutative geometry

Sebastiano Carpi, Robin Hillier, Roberto Longo
April 15, 2013
open access link Journal of Noncommuative Geometry, Volume 9, Issue 2, 2015, pp. 391-445

$N=2$ 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

Conformal nets and KK-theory

Sebastiano Carpi, Roberto Conti, Robin Hillier
May 29, 2012
open access link Ann. Funct. Anal. 4 (2013), no. 1, 11-17

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

Representations of Conformal Nets, Universal C*-Algebras and K-Theory

Sebastiano Carpi, Roberto Conti, Robin Hillier, Mihaly Weiner
February 12, 2012
chiral conformal field theory, representations, completely rational nets, universal C*-algebra, K-theory
open access link
to appear in Commun. Math. Phys.

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

Intersecting Jones projections

Sebastiano Carpi
December 22, 2004
open access link
International Journal of Mathematics 16 (2005) 687--691

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