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arXiv · hep-th/9205117

An Infinite Number of Commuting Quantum $\hat{W}_{\infty}$ Charges in the $SL(2,R)/U(1)$ Coset Model

Feng Yu·Yong-Shi Wu
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Abstract

The conformal non-compact $SL(2,R)/U(1)$ coset model in two dimensions has been recently shown to embody a nonlinear $\hat{W}_\infty$ current algebra, consisting of currents of spin $\geq 2$ including the energy-momentum tensor. In this letter we explicitly construct an infinite set of commuting quantum $\hat{W}_\infty$ 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 $\hat{W}_\infty$ current algebra invariant.

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Feng Yu, Yong-Shi Wu. 1992-05-30. An Infinite Number of Commuting Quantum $\hat{W}_{\infty}$ Charges in the $SL(2,R)/U(1)$ Coset Model. https://doi.org/10.1016/0370-2693(92)90679-x

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