English

Super Gelfand-Dickey Algebra And Integrable Models

High Energy Physics - Theory 2009-01-28 v2

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

Keywords

Cite

@article{arxiv.0708.4046,
  title  = {Super Gelfand-Dickey Algebra And Integrable Models},
  author = {A. El Boukili and M. B. Sedra and A. Zemate},
  journal= {arXiv preprint arXiv:0708.4046},
  year   = {2009}
}

Comments

24 pages

R2 v1 2026-06-21T09:12:06.320Z