N=4 Superextension of the Liouville Equation with Quaternionic Structure

摘要

An N=4 superextension of the Liouville equation with gauge SU(2) x SU(2) symmetry are constructed. It has an adequate formulation in terms of real quaternionic N=4 superfield subjected to certain Grassmann analyticity conditions and possesses a zero-curvature representation on superalgebra su(1, 1 Vertical bar 2). It is shown that the obtained system exhibits invariance under transformations of infinite dimensional SU(2)-superstring superalgebra whose realization proves to be different from those known before. A possible relation with the theory of SU(2)-superstring is discussed. (Atomindex citation 16:051351)