Superconformal Covariantization Of Superdifferential Operator On (1|1) Superspace And Classical N=2 W-superalgebras

Abstract

A study of the superconformal covariantization of superdifferential operators defined on $(1|1)$ superspace is presented. It is shown that a superdifferential operator with a particular type of constraint can be covariantized only when it is of odd order. In such a case, the action of superconformal transformation on the superdifferential operator is nothing but a hamiltonian flow defined by the corresponding supersymmetric second Gelfand-Dickey bracket. The covariant form of a superdifferential operator of odd order is given.

NHCU-HEP-94-06, 21 pages (plain TeX). One remarking paragraph and five new references on related subjects are added. Notice also the minor change of title

References in corpus (1)

• Superconformally covariant operators and super W algebras

Cited by in corpus (3)

• Hamiltonian Structures of Generalized Manin-Radul Super KdV and Constrained Super KP Hierarchies
• d=2, N=2 Superconformally Covariant Operators and Super W-Algebras
• Classical N=2 W-superalgebras From Superpseudodifferential Operators