  In the framework of chiral perturbation theory we demonstrate the equivalence
of the supersymmetric and the replica methods in the symmetry breaking classes
of Dyson indices \beta=1 and \beta=4. Schwinger-Dyson equations are used to
derive a universal differential equation for the finite volume partition
function in sectors of fixed topological charge, \nu. All dependence on the
symmetry breaking class enters through the Dyson index \beta. We utilize this
differential equation to obtain Virasoro constraints in the small mass
expansion for all \beta and in the large mass expansion for \beta=2 with
arbitrary \nu. Using quenched chiral perturbation theory we calculate the first
finite volume correction to the chiral condensate demonstrating how, for all
\betathere exists a region in which the two expansion schemes of quenched
finite volume chiral perturbation theory overlap.
