  The characteristic multi-dimensional integrals that represent physical
quantities in random-matrix models, when calculated within the supersymmetry
method, can be related to a class of integrals introduced in the context of
two-dimensional conformal field theories by Dotsenko & Fateev. Known results on
these Dotsenko-Fateev integrals provide a means by which to perform explicit
calculations (otherwise difficult) in random-matrix theory. We illustrate this
by (i) an evaluation of the mean squared S-matrix elements for the Gaussian
orthogonal ensemble coupled with M external channels, and (ii) a direct
derivation of the asymptotic behaviour of the dynamical density-density
correlator in the limit of large spatial and temporal separation for the
Calogero-Sutherland model which, at certain couplings, is known to map onto the
parameter-dependent random matrix ensembles.
