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arXiv · 2105.00638

Simplicity of higher rank triplet W-algebras

Shoma Sugimoto
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Abstract

We show that the higher rank triplet W-algebra is simple when p is bigger than or equal to h-1. Furthermore, we show that the Feigin-Tipunin's module over the higher rank triplet W-algebra introduced in arXiv:1002.5047 is simple if the parameter is in the closure of the fundamental alcove, and give the decomposition as a direct sum of simple modules over the affine W-algebras at level p-h.

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BibTeXRIS

Shoma Sugimoto. 2021-05-03. Simplicity of higher rank triplet W-algebras. https://doi.org/10.1093/imrn%2Frnac189

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