http://worldcat.org/entity/work/id/659464670

Quantum W-algebras and elliptic algebras

Abstract: "We define a quantum W-algebra associated to sl[subscript N] as an associative algebra depending on two parameters. For special values of the parameters it becomes the ordinary W-algebra of sl[subscript N], or the q-deformed classical W-algebra of sl[subscript N]. We construct free field realizations of the quantum W-algebras and the screening currents. We also point out some interesting elliptic structures arising in these algebras. In particular, we show that the screening currents satisfy elliptic analogues of the Drinfeld relations in U[subscript q](n̂)."

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