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

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.

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

References in corpus (2)

• W-symmetry in Conformal Field Theory
• Automorphisms of W-Algebras and Extended Rational Conformal Field Theories

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