The supersymmetric generalized modified KdV hierarchy and odd minimal superconformal field theories coupled to 2D supergravity: 2

We further study the universal equations of the supersymmetric modified KdV (MKdV) hierarchy in its generalized form. We show that these equations describe the dynamical quantum equations of the odd series of N = 1 minimal (p,q) superconformal field theory coupled to N = 1 supergravity in particular those unitary series with p = 2k + 3, and q = 2k = 1. The string susceptibility of these models is {gamma}{sub sstr.}{sup (0)} = {minus}2/2k + 1. We demonstrate explicitly the cases k = 2; and k = 3. 10 refs.