Author:
El Boukili Abderrahman,Lekbich Hicham,Mansour Najim
Abstract
In this paper, we first recall the approach to extract Liouville field theories from the action of worldsheets superstring in the standard case and also in the presence of gauge fields. In order to extend this formalism, we treat the case of Toda field equations based on a special ansatz of our superfields. Then, we study the integrability of the system by the Lax formulation based on the structure of the associated Lie superalgebra.