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# Papers

## Unitary representations of the $\mathcal{W}_3$-algebra with $c\geq 2$

Sebastiano Carpi, Yoh Tanimoto, Mihaly Weiner
October 18, 2019

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

Sebastiano Carpi, Tiziano Gaudio, Robin Hillier
October 24, 2018

## Positive energy representations of Sobolev diffeomorphism groups of the circle

Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
August 07, 2018

## Operator algebras and vertex operator algebras

Sebastiano Carpi
March 22, 2016

## Loop groups and noncommutative geometry

Sebastiano Carpi, Robin Hillier
September 09, 2015

## From vertex operator algebras to conformal nets and back

Sebastiano Carpi, Yasuyuki Kawahigashi, Roberto Longo, Mihaly Weiner
March 04, 2015

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

## $N=2$ superconformal nets

Sebastiano Carpi, Robin Hillier, Yasuyuki Kawahigashi, Roberto Longo, Feng Xu
July 10, 2012