Gauged W Algebras

Abstract

We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and prove that we get another \cw(\cg, \ch${}^{\prime }$) algebra, with $\mathrm{ch}\subset {\mathrm{ch}}^{\prime }$. In the case $\cg=S\ell(n)$, the existence of a suitable gauge, called Generalized Horizontal Gauge, allows to relate in this way two \cw-algebras as soon as their corresponding \ch-algebras are related by inclusion.

11 p., Latex. There was a misprint on the last author

References in corpus (8)

• W-symmetry in Conformal Field Theory
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Cited by in corpus (2)

• Hamiltonian Formulation of the W-Infinity Minimal Models
• N=2 Affine Superalgebras and Hamiltonian Reduction in N=2 Superspace