1+1 dimensional models of dilaton gravity coupled to bosons and fermions

Main properties of 1+1 dimensional dilaton gravity coupled to different sorts of matter are summarized, with a special emphasis on scalar bosons and spinor fermions. General dilaton gravity coupled to gauge fields is an essentially finite (0+1) dimensional theory and describes space - time manifolds with horizons. Coupling to scalar fields restores the field degrees of freedom but removes the static horizons. We propose that a combination of the scalar and spinor couplings may restore the static horizons, if the spinor field is properly adjusted to the scalar one.