Fusion categories for affine vertex algebras at admissible levels
Creutzig T (2019)
Publication Type: Journal article
Publication year: 2019
Journal
Book Volume: 25
Article Number: 27
Journal Issue: 2
DOI: 10.1007/s00029-019-0479-6
Abstract
The main result is that the category of ordinary modules of an affine vertex operator algebra of a simply laced Lie algebra at admissible level is rigid and thus a braided fusion category. If the level satisfies a certain coprime property then it is even a modular tensor category. In all cases open Hopf links coincide with the corresponding normalized S-matrix entries of torus one-point functions. This is interpreted as a Verlinde formula beyond rational vertex operator algebras. A preparatory Theorem is a convenient formula for the fusion rules of rational principal W-algebras of any type.
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Canada (CA)How to cite
APA:
Creutzig, T. (2019). Fusion categories for affine vertex algebras at admissible levels. Selecta Mathematica-New Series, 25(2). https://doi.org/10.1007/s00029-019-0479-6
MLA:
Creutzig, Thomas. "Fusion categories for affine vertex algebras at admissible levels." Selecta Mathematica-New Series 25.2 (2019).
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