1994/02/04 by Terry Gannon, T. Gannon, Q. Ho-Kim
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Holomorphic function #Invariant (physics) #Modular design #Modular invariance #Rank (graph theory) #hep-th
paper · pdf · doi:10.1016/0550-3213(94)90183-x
published as Nucl.Phys. B425 (1994) 319-342 · 25 pp., plain tex
arxiv created 1994/02/04 · openalex publication_date 1994/08/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors are different. As an application, we find all such ``heterotic'' WZNW physical invariants of (horizontal) rank four: there are exactly seven of these, two of which seem to be new. Previously, only those of rank ≤ 3 have been completely classified. We also find all physical modular invariants for su(2)k1× su(2)k2, for 22>k1>k2, and k1=28, k2<22, completing the classification of ref. \SUSU.