  We extend the analysis of the conductance fluctuations in disordered metals
by Altshuler, Kravtsov, and Lerner (AKL) to disordered superconductors with
broken time-reversal symmetry in $d=(2+\epsilon)$ dimensions (symmetry classes
C and D of Altland and Zirnbauer). Using a perturbative renormalization group
analysis of the corresponding non-linear sigma model (NL$\sigma$M) we compute
the anomalous scaling dimensions of the dominant scalar operators with $2s$
gradients to one-loop order. We show that, in analogy with the result of AKL
for ordinary, metallic systems (Wigner-Dyson classes), an infinite number of
high-gradient operators would become relevant (in the renormalization group
sense) near two dimensions if contributions beyond one-loop order are ignored.
We explore the possibility to compare, in symmetry class D, the
$\epsilon=(2-d)$ expansion in $d<2$ with exact results in one dimension. The
method we use to perform the one-loop renormalization analysis is valid for
general symmetric spaces of K\"ahler type, and suggests that this is a generic
property of the perturbative treatment of NL$\sigma$Ms defined on Riemannian
symmetric target spaces.
