Curiosities at c=-2
High Energy Physics - Theory
2007-05-23 v1
Abstract
Conformal field theory at provides the simplest example of a theory with ``logarithmic'' operators. We examine in detail the ghost system and Coulomb gas construction at and show that, in contradistinction to minimal models, they can not be described in terms of conformal families of {\em primary\/} fields alone but necessarily contain reducible but indecomposable representations of the Virasoro algebra. We then present a construction of ``logarithmic'' operators in terms of ``symplectic'' fermions displaying a global symmetry. Orbifolds with respect to finite subgroups of are reminiscent of the classification of modular invariant partition functions, but are isolated models and not linked by massless flows.
Keywords
Cite
@article{arxiv.hep-th/9510149,
title = {Curiosities at c=-2},
author = {Horst G. Kausch},
journal= {arXiv preprint arXiv:hep-th/9510149},
year = {2007}
}
Comments
26 pages, LaTeX