B(0,1) superalgebra and explicit integration of the supersymmetrical Liouville equation
Leznov A. N. , Leites D. A., Savel'ev M. V.
A supersymmetrical Liouville equation with anticommuting spinor fields is integrated in explicit form and its general solutions, which are defined by four arbitrary functions, are formulated. The "potentials" of the gauge field in the zero-curvature representation in this case are functions that are important in the В (0,1) [OSp(2,l)] superalgebra.
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![](/ps/1423/article_21639_800_head.png "A supersymmetrical Liouville equation with anticommuting spinor fields is integrated in explicit form and its general solutions, which are defined by four arbitrary functions, are formulated. The "potentials" of the gauge field in the zero-curvature representation in this case are functions that are important in the <b><i>В </i></b>(0,1) [OSp(2,l)] superalgebra.")