Operator algebras and vertex operator algebras
Operator Algebras
2017-12-14 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.1603.06742,
title = {Operator algebras and vertex operator algebras},
author = {Sebastiano Carpi},
journal= {arXiv preprint arXiv:1603.06742},
year = {2017}
}
Comments
Invited contribution to the Proceedings of the 14th Marcel Grossmann Meeting - MG14 (Rome, 2015)