Gauged W Algebras
arXiv:hep-th/9404037 · doi:10.1016/0370-2693(94)91406-0
Abstract
We perform an Hamiltonian reduction on a classical \cw(\cg, \ch) algebra, and prove that we get another \cw(\cg, \ch$'$) algebra, with $\ch\subset\ch'$. 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