English

Curiosities at c=-2

High Energy Physics - Theory 2007-05-23 v1

Abstract

Conformal field theory at c=2c=-2 provides the simplest example of a theory with ``logarithmic'' operators. We examine in detail the (ξ,η)(\xi,\eta) ghost system and Coulomb gas construction at c=2c=-2 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 SL(2)SL(2) symmetry. Orbifolds with respect to finite subgroups of SL(2)SL(2) are reminiscent of the ADEADE classification of c=1c=1 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