  We analyse the critical region of finite-($d$)-dimensional Ising spin glass,
in particular the limit of $d$ closely above the lower critical dimension
$d_\ell$. At criticality the thermally active degrees of freedom are surfaces
(of width zero) enclosing clusters of spins that may reverse with respect to
their environment. The surfaces are organised in finite interacting structures.
These may be called {\em protodroplets}\/, since in the off-critical limit they
reduce to the Fisher and Huse droplets. This picture provides an explanation
for the phenomenon of critical chaos discovered earlier. It also implies that
the spin-spin and energy-energy correlation functions are multifractal and we
present scaling laws that describe them. Several of our results should be
verifiable in Monte Carlo studies at finite temperature in $d=3$.
