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arxiv: 1002.5047 · v1 · pith:VZWYRHBXnew · submitted 2010-02-26 · 🧮 math.QA

Logarithmic CFTs connected with simple Lie algebras

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keywords logarithmicalgebraalgebrascalculatedcftscharactersconnectedconstructed
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For any root system corresponding to a semisimple simply-laced Lie algebra a logarithmic CFT is constructed. Characters of irreducible representations were calculated in terms of theta functions.

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  1. Feigin-Semikhatov duality at the critical level

    math.RT 2026-07 unverdicted novelty 7.0

    At the critical level the centerless subregular W-algebra equals an orbifold of the large-level principal W-superalgebra of sl_{n|1} times a lattice VOA, inducing block-wise equivalences of module categories.