The Structure of Parafermion Vertex Operator Algebras: General Case
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The structure of the parafermion vertex operator algebra associated to an integrable highest weight module for any affine Kac-Moody algebra is studied. In particular, a set of generators for this algebra has been determined.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/45b451c1aaad30f5a100af30fcc0a85e1acdaab8
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In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Cosets of affine vertex algebras inside larger structures (2014, background): “ALY]. For any simple gof rank d, a choice of simple roots give rise to dcopies of sl2 inside g which generate g. We have corresponding embeddings of W(2,3,4,5) into Ck(g), whose images generate Ck(g) [DWI]. However, these do not strongly generate Ck(g). Corollary 6.4 implies that Ck(g) is strongly fi”