The Zhu algebra variety conjecture for finitely strongly generated simple vertex operator algebras
The Zhu algebra variety conjecture for finitely strongly generated simple vertex operator algebras
Let be a finitely strongly generated simple vertex operator algebra of CFT type. Write
Here denotes the associated variety of . The Zhu algebra variety conjecture. We have an isomorphism of affine varieties
This statement is presented as a conjecture in the source and concerns the relationship between the associated variety of a vertex operator algebra and the maximal spectrum of the associated graded Zhu algebra; the supplied text gives no evidence of a resolution.
Sources & referencesView supporting material
Primary source
Tomoyuki Arakawa, “Rationality of W-algebras: principal nilpotent cases”, arXiv:1211.7124 (2015).
Additional references
2 papers in this index state this conjecture (2007–2012). The statement above is taken from the most recent of them; the others are arXiv:0712.0379.
Progress summary
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