1994/04/29 by Terry Gannon
Physics and Astronomy · #hep-th
published as Annales Poincare Phys.Theor. 65 (1996) 15-56 · 33 pp (plain tex)
arxiv created 1994/04/29 · arxiv updated 2009/11/30
The SU(3) modular invariant partition functions were first completely classified in Ref. \SU. The purpose of these notes is four-fold: \item(i) Here we accomplish the SU(3) classification using only the most basic facts: modular invariance; M\laμ∈\bf Z≥; and M00=1. In \SU we made use of less elementary results from Moore-Seiberg, in addition to these 3 basic facts. \item(ii) Ref. \SU was completed well over a year ago. Since then I have found a number of significant simplifications to the general argument. They are all included here. \item(iii) A number of people have complained that some of the arguments in \SU were hard to follow. I have tried here to be as explicit and as clear as possible. \item(iv) Hidden in \SU were a number of smaller results which should be of independent value. These are explicitly mentioned here.