On the Classification of Diagonal Coset Modular Invariants

Details On the Classification of Diagonal Coset Modular Invariants On the Classification of Diagonal Coset Modular Invariants

1994-07-11

arxiv.org/abs/hep-th/9407055v1

Commun.Math.Phys. 173 (1995) 175-198

Physics

High Energy Physics

High Energy Physics - Theory

24 pp (plain tex)

Scientific paper

10.1007/BF02100186

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 of $su(3)_k\oplus su(3)_1/su(3)_{k+1}$ for all positive integer level $k$, and $su(2)_k\oplus su(2)_\ell/su(2)_{k+\ell}$ for all $k$ and infinitely many $\ell$ (in fact, for each $k$ a positive density of $\ell$). Of all these classifications, only that for $su(2)_k\oplus su(2)_1/su(2)_{k+1}$ had been known. Our lists include many new invariants.

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