THE LEVEL-2 AND LEVEL-3 MODULAR INVARIANTS OF SU(N)

Authors
GANNON T
Citation
T. Gannon, THE LEVEL-2 AND LEVEL-3 MODULAR INVARIANTS OF SU(N), letters in mathematical physics, 39(3), 1997, pp. 289-298
Citations number
15
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
letters in mathematical physics → ACNP
ISSN journal
03779017
Volume
39
Issue
3
Year of publication
1997
Pages
289 - 298
Database
ISI
SICI code
0377-9017(1997)39:3<289:TLALMI>2.0.ZU;2-6
Abstract
In this letter, we explicitly classify all modular invariant functions for A(r)((l)) at levels 2 and 3. Previously, these were known only fo r level 1. Level 2 exceptions exist at r = 9, 15, and 27; level 3 exce ptions exist at r = 4, 8, and 20. One of these is new, but the others were all anticipated by the 'rank-level duality' relating A(r)((l)) le vel k and A(k-1)((l)) level r + 1. The main recent result which this l etter rests on is the classification of 'ADE(7)-type invarients'.