1+1 Dimensional models of dilation gravity coupled to bosons and fermions

Abstract

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.

This text contains only that part of the report presented at the conference which is related to the apparently new idea of a possible role of fermions in gravity models. The main concepts and results necessary to formulate this idea are only briefly reviewed. For notation, further details and references see (Filippov (1996, 1997))