The q-AGT–W Relations Via Shuffle Algebras
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We construct the action of the q-deformed W-algebra on its level r representation geometrically, using the moduli space of U(r) instantons on the plane and the double shuffle algebra. We give an explicit LDU decomposition for the action of W-algebra currents in the fixed point basis of the level r representation, and prove a relation between the Carlsson–Okounkov Ext operator and intertwiners for the deformed W-algebra. We interpret this result as a q-deformed version of the AGT–W relations.
Communications in Mathematical Physics
Springer Berlin Heidelberg
Neguţ, Andrei. "The q-AGT–W Relations Via Shuffle Algebras." Communications in Mathematical Physics 358 (February 2018): 101-170 ©2018 Author
Author's final manuscript