Semi-infinite cohomology of W-algebras
classification
✦ hep-th
math.QA
keywords
cohomologysemi-infinitealgebraalgebrascomputationscomputecoupledfields
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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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