English

Logarithmic Operators in Conformal Field Theory

High Energy Physics - Theory 2009-10-22 v2

Abstract

Conformal field theories with correlation functions which have logarithmic singularities are considered. It is shown that those singularities imply the existence of additional operators in the theory which together with ordinary primary operators form the basis of the Jordan cell for the operator L0L_{0}. An example of the field theory possessing such correlation functions is given.

Keywords

Cite

@article{arxiv.hep-th/9303160,
  title  = {Logarithmic Operators in Conformal Field Theory},
  author = {V. Gurarie},
  journal= {arXiv preprint arXiv:hep-th/9303160},
  year   = {2009}
}

Comments

13 pages, plain TEX, PUPT-1391 (minor changes and the appendix with additional calculations is added)

R2 v1 2026-07-22T15:45:33.503Z