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Quantum W-algebras and elliptic algebras

Author: Boris Feigin; Edward Frenkel
Publisher: Kyoto, Japan : Kyoto University, Research Institute for Mathematical Sciences, [1995]
Series: Kyōto Daigaku.; Sūri Kaiseki Kenkyūjo.; Technical report
Edition/Format:   Book : English
Database:WorldCat
Summary:
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  Read more...
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Document Type: Book
All Authors / Contributors: Boris Feigin; Edward Frenkel
OCLC Number: 34633929
Notes: Cover title.
"August 1995."
Description: 27 pages ; 21 cm.
Series Title: Kyōto Daigaku.; Sūri Kaiseki Kenkyūjo.; Technical report
Responsibility: by Boris Feigin and Edward Frenkel.

Abstract:

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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