GENERALIZED N=2 SUPER KdV HIERACHIES: LIE SUPERALGEBRAIC METHODS AND SCALAR SUPER LAX FORMALISM

Author:

INAMI TAKEO1,KANNO HIROAKI1

Affiliation:

1. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606, Japan

Abstract

Generalized N=2 super KdV hierarchies are constructed based on super Lax equations associated with Lie superalgebras SL(n|n)(1). The equivalence of the scalar super Lax formalism and the Lie superalgebraic method is derived by taking account of gauge transformations regarding the centre of SL(n|n)(1). We show that generalized N=2 super KdV hierarchies are related to the even reductions of the super KP hierarchy.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

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