Semi-infinite cohomology of W-algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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15 pages

Scientific paper

10.1007/BF00749725

We generalize some of the standard homological techniques to $\cW$-algebras,
and compute the semi-infinite cohomology of the $\cW_3$ algebra on a variety of
modules. These computations provide physical states in $\cW_3$ gravity coupled
to $\cW_3$ minimal models and to two free scalar fields.

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