  We study the covariance properties of the equations satisfied by the
generating functions of the chiral operators R and T of supersymmetric
SO(N)/Sp(N) theories with symmetric/antisymmetric tensors. It turns out that T
is an affine connection. As such it cannot be integrated along cycles on
Riemann surfaces. This explains the discrepancies observed by Kraus and
Shigemori. Furthermore, by means of the polynomial defining the Riemann
surface, seen as quadratic-differential, one can construct an affine connection
that added to T leads to a new generating function which can be consistently
integrated. Remarkably, thanks to an identity, the original equations are
equivalent to equations involving only one-differentials. This provides a
geometrical explanation of the map recently derived by Cachazo in the case of
Sp(N) with antisymmetric tensor. Finally, we suggest a relation between the
Riemann surfaces with rational periods which arise in studying the Laplacian on
special Riemann surfaces and the integrality condition for the periods of T.
