The Classification of Affine SU(3) Modular Invariant Partition Functions

Preprint

9 December 1992

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/9212060

Abstract

A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some preliminary work in that direction, including a sketch of a new proof for SU(2).

Keywords

INVARIANT PARTITION FUNCTIONS
MODULAR INVARIANT PARTITION
PARTITION FUNCTIONS
CLASSIFICATION
AFFINE SU
ALGEBRAS

All Related Versions

Version 1, 1992-12-09, ArXiv
Published version: Communications in Mathematical Physics, 161 (2), 233.

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