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

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

1993-06-04

arxiv.org/abs/hep-th/9306025v2

Phys.Lett. B316 (1993) 264-274

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, phyzzx, SISSA/76/93/EP, No modification, only note added

Scientific paper

10.1016/0370-2693(93)90324-B

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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