Some conclusions for noncritical string theory drawn from two- and three-point functions in the Liouville sector

Abstract

Starting from the known expression for the three-point correlation functions for Liouville exponentials with generic real coefficients at we can prove the Liouville equation of motion at the level of three-point functions. Based on the analytical structure of the correlation functions we discuss a possible mass shell condition for excitations of noncritical strings and make some observations concerning correlators of Liouville fields.

11 pages, latex, no figures, to appear in the proceedings of the XXVIII. Int. Symp. on the Theory of Elementary Particles, Wendisch-Rietz, August 30 - September 3, 1994