Non-Splittable Extensions of the Virasoro and Superconformal Algebras via Pseudodifferential Operators

E. S. Fradkin, V. Linetsky

Research output: Contribution to journalArticlepeer-review

Abstract

Applying the Weyl symbols techniques to the algebra of pseudodifferential operators on a circle and its extensions, a number of non-splittable Abelian, as well as infinite tower of non-Abelian, kernel extensions of the Virasoro and superconformal algebras have been explicitly constructed. The corresponding non-trivial cocycles appear as quantum corrections to the Poisson brackets when developing the Weyl multiplication formula. As an application, this construction may yield interesting generalizations of the KdV equation.
Original languageEnglish
Pages (from-to)2639-2648
JournalModern Physics Letters A
Volume6
DOIs
StatePublished - 1991

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