Abstract

Explicit solutions of super-Liouville equation are obtained by the use of a super-extension of the so-called Drinfeld–Sokolov construction. Such solutions can be proved to be local and super-periodic using earlier results of Toppan on exchange algebras based on super-Drinfeld–Sokolov linear systems and of Babelon et al. on the proof of locality and periodicity of ordinary Toda field theories.

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