Papers

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Non-unitary Wightman CFTs and non-unitary vertex algebras

Sebastiano Carpi, Christopher Raymond, Yoh Tanimoto, James E. Tener
September 13, 2024
open access link

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

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

Energy bounds for vertex operator algebra extensions

Sebastiano Carpi, Luca Tomassini
March 24, 2023
open access link Lett. Math. Phys. 113 (2023), no. 3, article n. 59

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)

Local energy bounds and strong locality in chiral CFT

Sebastiano Carpi, Yoh Tanimoto, Mihaly Weiner
March 30, 2021
open access link Commun. Math. Phys. 390 (2022), 169-192

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

Sebastiano Carpi, Yoh Tanimoto, Mihaly Weiner
October 18, 2019
open access link Transform. Groups 28 (2023), 561-590

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)

Positive energy representations of Sobolev diffeomorphism groups of the circle

Sebastiano Carpi, Simone Del Vecchio, Stefano Iovieno, Yoh Tanimoto
August 07, 2018
open access link Anal. Math. Phys. 11, 12 (2021)

Operator algebras and vertex operator algebras

Sebastiano Carpi
March 22, 2016
open access link The Fourteenth Marcel Grossmann Meeting, World Scientific, 2017

Loop groups and noncommutative geometry

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

Pages