Proof of the Flohr-Grabow-Koehn conjectures for characters of logarithmic conformal field theory

Abstract

In a recent paper Flohr, Grabow and Koehn conjectured that the characters of the logarithmic conformal field theory c_{k,1}, of central charge c=1-6(k-1)^2/k, admit fermionic representations labelled by the Lie algebra D_k. In this note we provide a simple analytic proof of this conjecture.

arXiv comment13 pages, 1 figure

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Cited by in corpus (3)

• The N=1 triplet vertex operator superalgebras
• What the characters of irreducible subrepresentations of Jordan cells can tell us about LCFT
• Exponents Associated with $Y$-Systems and their Relationship with $q$-Series