Super Gelfand-Dickey Algebra And Integrable Models
Abstract
We present in this work a systematic study of integrable models and supersymmetric extensions of the Gelfand-Dickey algebra of pseudo differential operators. We describe in detail the relation existing between the algebra of super pseudo-differential operators on the ring of superfields us2(z,θ),s∈ Z and the higher and lower spin extensions of the conformal algebra.
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