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

S Ole Warnaar

Published 2007-04-24Version 1

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.