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

Physics – High Energy Physics – High Energy Physics - Theory

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NHCU-HEP-94-06, 21 pages (plain TeX). One remarking paragraph and five new references on related subjects are added. Notice al

Scientific paper

10.1063/1.530524

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.

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