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, z −1]], where K is an auxiliary finite-dimensional vector space, and (ii) extending C by operators corresponding to the endomorphisms End K. For K= C 2 , with End K being the two-dimensional Clifford algebra, our construction results in extending C by an operator that can be thought of as ∂ −1 E, 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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