Logarithmic Conformal Field Theories via Logarithmic Deformations
High Energy Physics - Theory
2009-11-07 v2
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\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.
Cite
@article{arxiv.hep-th/0201091,
title = {Logarithmic Conformal Field Theories via Logarithmic Deformations},
author = {J. Fjelstad and J. Fuchs and S. Hwang and A. M. Semikhatov and I. Yu. Tipunin},
journal= {arXiv preprint arXiv:hep-th/0201091},
year = {2009}
}
Comments
LaTeX, 35 pages, 4 eps figures. v2: references added