An Infinite Number of Commuting Quantum ˆ W ∞ Charges in the SL(2, R)/U(1) Coset Model
نویسنده
چکیده
The conformal non-compact SL(2, R)/U(1) coset model in two dimensions has been recently shown to embody a nonlinear Ŵ∞ 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 Ŵ∞ 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 Ŵ∞ current algebra invariant.
منابع مشابه
††Center for Theoretical Physics, MIT
We give a unified description of our recent results on the the inter-relationship between the integrable infinite KP hierarchy, nonlinear Ŵ∞ current algebra and conformal noncompact SL(2, R)/U(1) coset model both at the classical and quantum levels. In particular, we present the construction of a quantum version of the KP hierarchy by deforming the second KP Hamiltonian structure through quanti...
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تاریخ انتشار 1992