Polynomial energy bounds for type $F_4$ WZW-models

Abstract

We prove that sufficiently many intertwining operators of type $F_4$ unitary affine VOAs satisfy polynomial energy bounds. This finishes the Wassermann type analysis of intertwining operators for all WZW-models.

arXiv comment21 pages, updated to published version

References in corpus (6)

• W-algebras as coset vertex algebras
• Rationality of W-algebras: principal nilpotent cases
• Fusion rules in conformal field theory
• Unitarity of the modular tensor categories associated to unitary vertex operator algebras, I
• Representation theory in chiral conformal field theory: from fields to observables
• Energy bounds condition for intertwining operators of type $B$, $C$, and $G_2$ unitary affine vertex operator algebras