Advanced Studies in Pure Mathematics

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

Boris Feigin, Evgeny Feigin, and Il'ya Tipunin

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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.

Article information

Source
Exploring New Structures and Natural Constructions in Mathematical Physics, K. Hasegawa, T. Hayashi, S. Hosono and Y. Yamada, eds. (Tokyo: Mathematical Society of Japan, 2011), 161-184

Dates
Received: 8 March 2007
Revised: 26 April 2008
First available in Project Euclid: 24 November 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1543085347

Digital Object Identifier
doi:10.2969/aspm/06110161

Mathematical Reviews number (MathSciNet)
MR2867147

Zentralblatt MATH identifier
1242.81120

Citation

Feigin, Boris; Feigin, Evgeny; Tipunin, Il'ya. Fermionic formulas for characters of $(1, p)$ logarithmic model in $\Phi_{2,1}$ quasiparticle realisation. Exploring New Structures and Natural Constructions in Mathematical Physics, 161--184, Mathematical Society of Japan, Tokyo, Japan, 2011. doi:10.2969/aspm/06110161. https://projecteuclid.org/euclid.aspm/1543085347


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