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On the classification of diagonal coset modular invariants

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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.

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Authors and Affiliations

  1. Institut des Hautes Etudes Scientifiques, F-91440, Bures-sur-Yvette, France

    Terry Gannon

  2. Physics Department, University of Lethbridge, T1K 3M4, Lethbridge, Alberta, Canada

    Mark A. Walton

Authors
  1. Terry Gannon
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  2. Mark A. Walton
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Communicated by R.H. Dijkgraaf

Supported in part by NSERC.

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Gannon, T., Walton, M.A. On the classification of diagonal coset modular invariants. Commun.Math. Phys. 173, 175–197 (1995). https://doi.org/10.1007/BF02100186

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  • DOI: https://doi.org/10.1007/BF02100186

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