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29 March 2024
 
  » arxiv » hep-th/0201091

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Logarithmic Conformal Field Theories via Logarithmic Deformations
J. Fjelstad ; J. Fuchs ; S. Hwang ; A.M. Semikhatov ; I.Yu. Tipunin ;
Date 14 Dec 2001
Journal Nucl.Phys. B633 (2002) 379-413
Subject hep-th
AbstractWe 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 ensor 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=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 partial^{-1}E, where oint E is a fermionic screening. This covers the (2,p) Virasoro minimal models as well as the sl(2) WZW theory.
Source arXiv, hep-th/0201091
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