Logarithmic Conformal Field Theories via Logarithmic Deformations
J. Fjelstad, J. Fuchs, S. Hwang, A. M. Semikhatov, I. Yu. Tipunin
Abstract
We construct logarithmic conformal field theories starting from an ordinary conformal field theory -- with a chiral algebra C and the corresponding space of states V -- via a two-step construction: i) deforming the chiral algebra representation on V End K[[z,1/z]], where K is an auxiliary finite-dimensional vector space, and ii) extending C by operators corresponding to the endomorphisms End K. For K=C2, with End K being the two-dimensional Clifford algebra, our construction results in extending C by an operator that can be thought of as ∂-1E, where E is a fermionic screening. This covers the (2,p) Virasoro minimal models as well as the sl(2) WZW theory.
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