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Logarithmic CFTs connected with simple Lie algebras

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arxiv 1002.5047 v1 pith:VZWYRHBX submitted 2010-02-26 math.QA

Logarithmic CFTs connected with simple Lie algebras

B.L. Feigin , I.Yu. Tipunin This is my paper
classification math.QA
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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Cited by 2 Pith papers

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  1. Feigin-Semikhatov duality at the critical level

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    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.

  2. (1,k) CFT and RH problem with the c=-2 case

    math-ph 2026-07 conditional novelty 6.0

    For (1,k) Virasoro models, periodic vertex operators plus two degenerate fields solve a modified Riemann–Hilbert problem; in the k=2, c=-2 case the solution is explicit and satisfies new bilinear identities.