Fermionic formulas for characters of $(1, p)$ logarithmic model in $\Phi_{2,1}$ quasiparticle realisation

Feigin, Boris; Feigin, Evgeny; Tipunin, Il'ya

doi:10.2969/aspm/06110161

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VOL. 61 | 2011 Fermionic formulas for characters of $(1, p)$ logarithmic model in $\Phi_{2,1}$ quasiparticle realisation

Boris Feigin, Evgeny Feigin, Il'ya Tipunin

Editor(s) Koji Hasegawa, Takahiro Hayashi, Shinobu Hosono, Yasuhiko Yamada

Advanced Studies in Pure Mathematics, 2011: 161-184 (2011) https://doi.org/10.2969/aspm/06110161

Abstract

We give expressions for the characters of $(1, p)$ logarithmic conformal field models in the Gordon-type form. The formulas are obtained in terms of "quasiparticles" that are Virasoro $\Phi_{2,1}$ primary fields and generalize the symplectic fermions.