W--Gravity and Generalized Lax Equations for (super) Toda Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9pp

Scientific paper

10.1016/0550-3213(92)90207-R

We generalize the Lax pair and B\"acklund transformations for Toda and N=1
super Toda equations to the case of arbitrary worldsheet background geometry.
We use the fact that the Toda equations express constant curvature conditions,
which arise naturally from flatness conditions equivalent to the W--gravity
equations of motion.

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