New supersymmetric generalization of the Liouville equation

Abstract

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 Bäcklund transformations associated with the supersymmetric non--linear equations.

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

References in corpus (4)

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• Covariant Quantization of the Green-Schwarz Superstring in a Calabi-Yau Background
• The Extended Supersymmetrization of the Nonlinear Schrodinger Equation
• N=1,2 Super-NLS Hierarchies as Super-KP Coset Reductions

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