On the free field realization of $WB{C}_n$ algebras

Abstract

Defining the $WB{C}_n$ algebras as the commutant of certain screening charges a special form for the classical generators is obtained which does not change under quantisation. This enables us to give explicitly the first few generators in a compact form for arbitrary $WB{C}_n$ algebras.

9 pages, Latex, reference added, to appear in Phys. Let. B

References in corpus (6)

• W-symmetry in Conformal Field Theory
• Representation theory of finite W algebras
• Duality in Quantum Toda theory and W-algebras
• Singular Vectors of $\mathcal{W}$ Algebras via DS Reduction of $A_2^{(}1)$
• Free Field Realization of $WB{C}_n$ and $W{G}_2$ algebras
• $C_2$ Toda theory in the reduced WZNW framework