English

Recent Progress in Irrational Conformal Field Theory

High Energy Physics - Theory 2007-05-23 v1

Abstract

In this talk, I will review the foundations of irrational conformal field theory (ICFT), which includes rational conformal field theory as a small subspace. Highlights of the review include the Virasoro master equation, the Ward identities for the correlators of ICFT and solutions of the Ward identities. In particular, I will discuss the solutions for the correlators of the g/hg/h coset constructions and the correlators of the affine-Sugawara nests on gh1hng\supset h_1 \supset \ldots \supset h_n. Finally, I will discuss the recent global solution for the correlators of all the ICFT's in the master equation.

Keywords

Cite

@article{arxiv.hep-th/9309087,
  title  = {Recent Progress in Irrational Conformal Field Theory},
  author = {M. B. Halpern},
  journal= {arXiv preprint arXiv:hep-th/9309087},
  year   = {2007}
}

Comments

16 pages, Latex, UCB-PTH-93/25, LBL-34610, talk presented at the conference "Strings 1993", Berkeley, May 23-29

R2 v1 2026-07-22T15:47:23.623Z