BRST operators for W algebras

Abstract

The study of quantum Lie algebras motivates a use of non-canonical ghosts and anti-ghosts for non-linear algebras, like W-algebras. This leads, for the W_3 and W_3^(2) algebras, to the BRST operator having the conventional cubic form.

15 pages, revised version, to appear in J. Math. Phys

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• Two-Dimensional Gravity and Nonlinear Gauge Theory
• How massless are massless fields in $Ad{S}_d$
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Extended N=2 Superconformal Structure of Gravity and W-Gravity Coupled to Matter
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Cited by in corpus (4)

• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Rigid Rotor as a Toy Model for Hodge Theory
• BRST charges for finite nonlinear algebras
• Explicit field realizations of W algebras