Super Gelfand-Dickey Algebra And Integrable Models

2007/08/30 by A. El Boukili, Boukili, A. El, M. B. Sedra +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.0708.4046

24 pages

openalex publication_date 2007/08/30 · arxiv created 2009/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 u_(s)/(2)(z,θ),s∈ Z and the higher and lower spin extensions of the conformal algebra.

Citations

• Affine Gelfand-Dickey brackets and holomorphic vector bundles

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