Free Field Realization of $WB{C}_n$ and $W{G}_2$ algebras

Abstract

We study the BRST-cohomology in the quantum hamiltonian reduction of affine Lie algebras of non-simply laced type. We obtain the free field realization of the $W\mathbf{g}$-algebra for $\bg=B_{2}$, $B_3$, $C_3$ and $G_2$. The $W{C}_3$ algebra is shown to be equal to the $W{B}_3$ algebra at the quantum level by duality transformation.

14 pages, latex

References in corpus (8)

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Cited by in corpus (5)

• The ABCDEFG of Instantons and W-algebras
• Probing integrable perturbations of conformal theories using singular vectors
• Integrals of motion in conformal field theory with W-symmetry and the ODE/IM correspondence
• Integrals of motion in $W{E}_6$ CFT and the ODE/IM correspondence
• On the free field realization of $WB{C}_n$ algebras