The level 2 and 3 modular invariants of SU(n)

Details The level 2 and 3 modular invariants of SU(n) The level 2 and 3 modular invariants of SU(n)

1995-11-06

arxiv.org/abs/hep-th/9511040v1

Lett.Math.Phys. 39 (1997) 289-298

Physics

High Energy Physics

High Energy Physics - Theory

plain tex, 8 pages

Scientific paper

In this paper we explicitly classify all modular invariant partition functions for su(n) at level 2 and 3. Previously, these were known only for level 1. The level 2 exceptionals exist at n=10, 16, and 28; the level 3 exceptionals exist at n=5, 9, and 21. One of these is new, but the others were all anticipated by the "rank-level duality" relating su(n) level k and su(k) level n. The main recent result which this paper rests on is the classification of "ADE_7-type invariants".

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