On the classification of diagonal coset modular invariants |
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| Authors: | Terry Gannon Mark A. Walton |
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| Affiliation: | (1) Institut des Hautes Etudes Scientifiques, F-91440 Bures-sur-Yvette, France;(2) Physics Department, University of Lethbridge, T1K 3M4 Lethbridge, Alberta, Canada |
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| Abstract: | We relate in a novel way the modular matrices of GKO diagonal cosets without fixed points to those of WZNW tensor products. Using this we classify all modular invariant partition functions ofsu(3)k  su(3)1/su(3)k+1 for all positive integer levelk, andsu(2)k su(2)l/su(2)k+1 for allk and infinitely manyl (in fact, for eachk a positive density ofl). Of all these classifications, only that forsu(2)k su(2)1/su(2)k+1 had been known. Our lists include many new invariants.Supported in part by NSERC. |
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