New supersymmetric generalization of the Liouville equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX, no figures. The component structure of the supersymmetric non--linear equations corrected, misprints eliminat

Scientific paper

10.1016/0370-2693(96)00023-8

We present new $n=(1,1)$ and $n=(1,0)$ supersymmetric generalization of the Liouville equation, which originate from a geometrical approach to describing the classical dynamics of Green--Schwarz superstrings in $N=2,~D=3$ and $N=1,~D=3$ target superspace. Considered are a zero curvature representation and B\"acklund transformations associated with the supersymmetric non--linear equations.

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