  Scaling limits of critical percolation models show major differences between
low and high dimensional models. The article discusses the formulation of the
continuum limit for the former case. A mathematical framework is proposed for
the direct description of the limiting continuum theory. The resulting
structure is expected to exhibit strict conformal invariance, and facilitate
the mathematical discussion of questions related to universality of critical
behavior, conformal invariance, and some relations with a number of field
theories.
