1994/02/01 by Hidetoshi Awata, H. Awata, Masafumi Fukuma +5 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Algebra over a field #Algebraic number #Algebraic structures and combinatorial models #Central charge #Character (mathematics) #Charge (physics) #Computer science #Geometry #Integer (computer science) #Lie algebra #Mathematical analysis #Mathematics #Modular design #Modular representation theory #Null (SQL) #Physics #Pure mathematics #Quantum mechanics #Representation (politics) #Representation theory #Verma module #hep-th
paper · pdf · doi:10.1016/0370-2693(94)91262-9
published as Phys.Lett. B332 (1994) 336-344 · YITP/K-1054, UT-669, SULDP-1994-1, (11 pages, LaTeX file)
arxiv created 1994/02/01 · openalex publication_date 1994/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We calculate the Kac determinant for the quasi-finite representation of \Winf algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic construction of null states and propose the character formulae. The character of the Verma module is related to free fields in three dimensions which has rather exotic modular properties.