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Lie superalgebraic approach to super Toda lattice and generalized super KdV equations

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Abstract

We propose a super Lax type equation based on a certain class of Lie superalgebra as a supersymmetric extension of generalized (modified) KdV hierarchy. We are able to construct an infinite set of conservation laws and the consistent time evolution generators for generalized modified super KdV equations. Thefirst few of the conserved currents, the (modified) super KdV equation and the super Miura transformation are worked out explicitly in the case of twisted affine Lie superalgebraOSp(2/2)(2).

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Authors and Affiliations

  1. Research Institute for Fundamental Physics, Kyoto University, 606, Kyoto, Japan

    Takeo Inami & Hiroaki Kanno (JSPS fellow)

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  1. Takeo Inami
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  2. Hiroaki Kanno
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Communicated by H. Araki

Partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (#01540246 and #01790203).

RIFP will be known as Yukawa Institute for Theoretical Physics from June 8, 1990

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Inami, T., Kanno, H. Lie superalgebraic approach to super Toda lattice and generalized super KdV equations. Commun.Math. Phys. 136, 519–542 (1991). https://doi.org/10.1007/BF02099072

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  • DOI: https://doi.org/10.1007/BF02099072

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