# Operator algebras and vertex operator algebras

March 22, 2016

In two-dimensional conformal field theory (CFT) the building blocks are given
by chiral CFTs, i.e.~CFTs on the unit circle (compactified light-ray). They are
generated by quantum fields depending on one light-ray coordinate only. There
are two mathematical formulations of chiral CFT, the one based on vertex
operator algebras (VOAs) and the one based on conformal nets. We describe some
recent results which, for first time, gives a general construction of conformal
nets from (unitary) VOAs.

open access link
The Fourteenth Marcel Grossmann Meeting, World Scientific, 2017

@inproceedings{Carpi:2016tog,
author = "Carpi, Sebastiano",
title = "{Operator algebras and vertex operator algebras}",
booktitle = "{Proceedings, 14th Marcel Grossmann Meeting on Recent
Developments in Theoretical and Experimental General
Relativity, Astrophysics, and Relativistic Field Theories
(MG14) (In 4 Volumes): Rome, Italy, July 12-18, 2015}",
year = "2017",
volume = "4",
pages = "3843-3848",
doi = "10.1142/9789813226609_0508",
eprint = "1603.06742",
archivePrefix = "arXiv",
primaryClass = "math.OA",
SLACcitation = "%%CITATION = ARXIV:1603.06742;%%"
}

Keywords:

*none*