Super Gelfand-Dickey Algebra And Integrable Models

Details Super Gelfand-Dickey Algebra And Integrable Models Super Gelfand-Dickey Algebra And Integrable Models

2007-08-30

arxiv.org/abs/0708.4046v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages

Scientific paper

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 $u_{\frac{s}{2}}(z,\theta),s\in Z$ and the higher and lower spin extensions of the conformal algebra.

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