  The possible interpretations of a new continuum model for the two-dimensional
quantum gravity for $d>1$ ($d$=matter central charge), obtained by carefully
treating both diffeomorphism and Weyl symmetries, are discussed. In particular
we note that an effective field theory is achieved in low energy (large area)
expansion, that may represent smooth self-avoiding random surfaces embedded in
a $d$-dimensional flat space-time for arbitrary $d$. Moreover the values of
some critical exponents are computed, that are in agreement with some recent
numerical results.
