1993/12/31 by Yutaka Matsuo, Y. Matsuo · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Central charge #Charge (physics) #Computer science #Conformal map #Fermion #Integer (computer science) #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Operator (biology) #Operator algebra #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Representation (politics) #Trivial representation #hep-th
paper · pdf · doi:10.1016/0370-2693(94)91198-3
published as Phys.Lett. B326 (1994) 95-100 · 10 pages, UT-661, harvmac Reference is corrected
arxiv created 1994/01/25 · openalex publication_date 1994/04/01 · arxiv updated 2009/11/30 · openalex created_date 2017/05/26 · openalex updated_date 2026/08/05
We study quasi-finite representation of the \Winf algebra recently proposed by Kac and Radul. When the central charge is integer, we show that they are represented by free fermions and bosonic ghosts. There are some nontrivial representations with vanishing central charge. We discuss that they may be described by large N limit of topological models. We calculate their operator algebras explicitly.