Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1991-12-31
Physics
High Energy Physics
High Energy Physics - Theory
41 pages. This paper is based on a set of lectures given at the Trieste Summer School in High-Energy Physics, August 1991
Scientific paper
We give a review of the extended conformal algebras, known as $W$ algebras,
which contain currents of spins higher than 2 in addition to the
energy-momentum tensor. These include the non-linear $W_N$ algebras; the linear
$W_\infty$ and $W_{1+\infty}$ algebras; and their super-extensions. We discuss
their applications to the construction of $W$-gravity and $W$-string theories.
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