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A Lie algebraic pattern behind logarithmic CFTs
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abstract
We introduce a purely Lie algebraic formalization of the Feigin--Tipunin's geometric construction of logarithmic CFTs/VOAs. After reformulating the geometric representation theory of FT construction under this new setting, within this framework, we uniformly construct the (multiplet) principal W-algebras at positive integer level associated with any simple Lie algebra $\mathfrak{g}$ and Lie superalgebra $\mathfrak{osp}(1|2r)$, thereby establishing Weyl-type character formulas and simplicity theorems that extend the first author's previous results.
Forward citations
Cited by 2 Pith papers
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Nesting behind $\hat{Z}$-invariants
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A hypercubic DAG recursion reproduces the bosonic formula for Z-hat invariants of Seifert manifolds and motivates a conjectural abelian categorification via recursive shift systems.
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