1994/07/11 by Terry Gannon, Mark A. Walton · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Combinatorics #Computer science #Coset #Diagonal #Geometry #Integer (computer science) #Invariant (physics) #Mathematical physics #Mathematics #Modular design #Modular form #Nonlinear Waves and Solitons #Partition (number theory) #Physics #Pure mathematics #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1007/bf02100186
published as Commun.Math.Phys. 173 (1995) 175-198 · 24 pp (plain tex)
arxiv created 1994/07/11 · openalex publication_date 1995/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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⊕ su(3)1/su(3)k+1 for all positive integer level k, and su(2)k⊕ su(2)_ℓ/su(2)k+ℓ for all k and infinitely many ℓ (in fact, for each k a positive density of ℓ). Of all these classifications, only that for su(2)k⊕ su(2)1/su(2)k+1 had been known. Our lists include many new invariants.