English

A Local Logarithmic Conformal Field Theory

High Energy Physics - Theory 2011-09-29 v2

Abstract

The local logarithmic conformal field theory corresponding to the triplet algebra at c=-2 is constructed. The constraints of locality and crossing symmetry are explored in detail, and a consistent set of amplitudes is found. The spectrum of the corresponding theory is determined, and it is found to be modular invariant. This provides the first construction of a non-chiral rational logarithmic conformal field theory, establishing that such models can indeed define bona fide conformal field theories.

Keywords

Cite

@article{arxiv.hep-th/9807091,
  title  = {A Local Logarithmic Conformal Field Theory},
  author = {Matthias R. Gaberdiel and Horst G. Kausch},
  journal= {arXiv preprint arXiv:hep-th/9807091},
  year   = {2011}
}

Comments

29 pages, LaTeX, minor changes, reference added

R2 v1 2026-07-22T16:11:20.690Z