STRING-INSPIRED GRAVITY COUPLED TO YANG-MILLS FIELDS

String-inspired (1 + 1)-dimensional gravity is coupled to Yang-Mills f ields in the Cangemi-Jackiw gauge-theoretical formulation, based on th e extended Poincare group. A family of couplings, which involves metri cs obtainable from the physical metric with a conformal rescaling, is considered, and the resulting family of models is investigated both at the classical and at the quantum levels. In particular, also using a series of Kirillov-Kostant phases, the wave functionals that solve the constraints are identified.