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The Complete structure of the nonlinear $W_4$ and $W_5$ algebras from quantum Miura transformation

Chuan-Jie Zhu
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Abstract

Starting from the well-known quantum Miura transformation for the Lie algebra $A_n$, we compute explicitly the OPEs for $n=3$ and 4. The primary fields with spin 3, 4 and 5 are found (for general $n$). By using these primary fields and the OPEs from quantum Miura transformation, we derive the complete structure of the nonlinear $W_4$ and $W_5$ algebras.

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Chuan-Jie Zhu. 1993-06-11. The Complete structure of the nonlinear $W_4$ and $W_5$ algebras from quantum Miura transformation. https://doi.org/10.1016/0370-2693(93)90324-b

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