On the Feigin-Tipunin conjecture

Abstract

We prove the Feigin-Tipunin conjecture on the geometric construction of the logarithmic W-algebras associated with a simply-laced simple Lie algebra and an integer p bigger than 2, and their modules.

arXiv comment39 pages, to appear in Selecta Math

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• The Triplet Vertex Operator Algebra W(p) and the Restricted Quantum Group at Root of Unity
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Cited by in corpus (3)

• Quantum SL(2) and logarithmic vertex operator algebras at (p,1)-central charge
• Characterizing braided tensor categories associated to logarithmic vertex operator algebras
• On parafermion vertex algebras of $\mathfrak{sl}(2{)}_{-3/2}$ and $\mathfrak{sl}(3{)}_{-3/2}$