Integrable Superhierarchy of Discretized 2d Supergravity

Abstract

The hierarchical nonlinear super-differential equations are identified which describe universal behavior of the discretized model of $2d$ supergravity recently proposed. This is done by first taking a double scaling limit of the super Virasoro constraints ( at finite $N$) of the model and by rederiving it from the ${\tilde{G}}_{-1/2}$ constraint and the two reduction of the super KP hierarchy discussed. The double-scaled constraints are found to be described by a twisted scalar and a Ramond fermion.

10 pages, Latex

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