An Infinite Number of Commuting Quantum W∞ Charges in the SL(2,R)/U(1) Coset Model
Abstract
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.
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