Irrational Conformal Field Theory
High Energy Physics - Theory
2010-11-01 v2
Abstract
This is a review of irrational conformal field theory, which includes rational conformal field theory as a small subspace. Central topics of the review include the Virasoro master equation, its solutions and the dynamics of irrational conformal field theory. Discussion of the dynamics includes the generalized Knizhnik-Zamolodchikov equations on the sphere, the corresponding heat-like systems on the torus and the generic world- sheet action of irrational conformal field theory.
Keywords
Cite
@article{arxiv.hep-th/9501144,
title = {Irrational Conformal Field Theory},
author = {M. B. Halpern and E. Kiritsis and N. Obers and K. Clubok},
journal= {arXiv preprint arXiv:hep-th/9501144},
year = {2010}
}
Comments
195 pages, Latex, 12 figures, to appear in Physics Reports. Typos corrected in Sections 13 and 14, and a footnote added in Section 14