Flat Connections and Non-Local Conserved Quantities in Irrational Conformal Field Theory
High Energy Physics - Theory
2009-10-22 v1
Abstract
Irrational conformal field theory (ICFT) includes rational conformal field theory as a small subspace, and the affine-Virasoro Ward identities describe the biconformal correlators of ICFT. We reformulate the Ward identities as an equivalent linear partial differential system with flat connections and new non-local conserved quantities. As examples of the formulation, we solve the system of flat connections for the coset correlators, the correlators of the affine-Sugawara nests and the high-level -point correlators of ICFT.
Keywords
Cite
@article{arxiv.hep-th/9312050,
title = {Flat Connections and Non-Local Conserved Quantities in Irrational Conformal Field Theory},
author = {M. B. Halpern and N. A. Obers},
journal= {arXiv preprint arXiv:hep-th/9312050},
year = {2009}
}
Comments
40 pages, Latex, UCB-PTH-93/33, LBL-34901, CPTH-A277.1293