Conformal nets are factorization algebras

Andre Henriques

Conformal nets are factorization algebras

Andre Henriques

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic

Abstract

We prove that conformal nets of finite index are an instance of the notion of a factorization algebra. This result is an ingredient in our proof that, for $G=SU(n)$, the Drinfel'd center of the category of positive energy representations of the based loop group is equivalent to the category of positive energy representations of the free loop group.

Original language	Undefined/Unknown
Title of host publication	Conformal nets are factorization algebras
Publication status	Published - 17 Nov 2016

Keywords

math-ph
math.MP
81T40

Cite this

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title = "Conformal nets are factorization algebras",

abstract = "We prove that conformal nets of finite index are an instance of the notion of a factorization algebra. This result is an ingredient in our proof that, for $G=SU(n)$, the Drinfel'd center of the category of positive energy representations of the based loop group is equivalent to the category of positive energy representations of the free loop group.",

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AB - We prove that conformal nets of finite index are an instance of the notion of a factorization algebra. This result is an ingredient in our proof that, for $G=SU(n)$, the Drinfel'd center of the category of positive energy representations of the based loop group is equivalent to the category of positive energy representations of the free loop group.

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M3 - Conference contribution

BT - Conformal nets are factorization algebras

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