The relation between quantum W algebras and Lie algebras


By quantizing the generalized Drinfeld-Sokolov reduction scheme for arbitrary sl2 embeddings we show that a large set W of quantum W algebras can be viewed as (BRST) cohomologies of affine Lie algebras. The set W contains many known W algebras such as WN and W (2) 3 . Our formalism yields a completely algorithmic method for calculating the W algebra… (More)



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@inproceedings{Boer2008TheRB, title={The relation between quantum W algebras and Lie algebras}, author={Jan de Boer and Tjark Tjin}, year={2008} }