SUBCRITICAL SUPERSTRINGS

We introduce the Liouville mode into dhe Green-Schwarz superstring. Li ke massive supersymmetry without central charges, there is no kappa sy mmetry. However, the second-class constraints (and corresponding Wess- Zumino term) remain, and can be solved by (twisted) chiral superspace in dimensions D = 4 and 6. The matter conformal anomaly is c = 4 - D < 1. It thus can be canceled for physical dimensions by the usual Liouv ille methods, unlike the bosonic string (for which the consistency con dition is c = D less than or equal to 1).