1992/05/30 by Feng Yu, Yong-Shi Wu
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal map #Coset #Discrete mathematics #Geometry #Invariant (physics) #Mathematical physics #Mathematics #Nonlinear system #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum #Quantum mechanics #Tensor product #hep-th
paper · pdf · doi:10.1016/0370-2693(92)90679-x
published as Phys.Lett. B294 (1992) 177-185 · 15p
arxiv created 1992/05/30 · openalex publication_date 1992/11/01 · arxiv updated 2015/06/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The conformal non-compact SL(2,R)/U(1) coset model in two dimensions has been recently shown to embody a nonlinear W_∞ current algebra, consisting of currents of spin ≥ 2 including the energy-momentum tensor. In this letter we explicitly construct an infinite set of commuting quantum W_∞ charges in the model with k=1. These commuting quantum charges generate a set of infinitely many compatible flows (quantum KP flows), which maintain the nonlinear W_∞ current algebra invariant.