From vertex operator superalgebras to graded-local conformal nets and back

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
April 27, 2023
open access link

Haploid algebras in $C^*$-tensor categories and the Schellekens list

Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti, Robin Hillier
November 23, 2022
open access link Commun. Math. Phys. (2023)

Classification of unitary vertex subalgebras and conformal subnets for rank-one lattice chiral CFT models

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
October 24, 2018
open access link Journal of Mathematical Physics 60, 093505 (2019)

Loop groups and noncommutative geometry

Sebastiano Carpi, Robin Hillier
September 09, 2015
open access link Reviews in Mathemayical Physics 29, 1750029 (2017) [42 pages]

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

On Super-KMS Functionals for Graded-Local Conformal Nets

Robin Hillier
April 24, 2012
chiral conformal field theory, entire cyclic cohomology, KMS condition, supersymmetry
open access link Ann. Henri Poincare 16 (2015), 1899-1936

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.

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