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

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

1992-12-09

arxiv.org/abs/hep-th/9212060v1

Commun.Math.Phys. 161 (1994) 233-264

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, (plain tex)

Scientific paper

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).

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