Logarithmic Conformal Field Theories via Logarithmic Deformations

Details Logarithmic Conformal Field Theories via Logarithmic Deformations Logarithmic Conformal Field Theories via Logarithmic Deformations

2002-01-14

arxiv.org/abs/hep-th/0201091v2

Nucl.Phys. B633 (2002) 379-413

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 35 pages, 4 eps figures. v2: references added

Scientific paper

10.1016/S0550-3213(02)00220-1

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\tensor 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.

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