  We study four-dimensional compactifications of type II superstrings on
Calabi-Yau spaces in the hybrid formalism. Chiral and twisted-chiral
interactions are rederived, which involve the coupling of the compactification
moduli to two powers of the Weyl-tensor and of the derivative of the universal
tensor field-strength. We review the formalism and provide details of some of
its technicalities.
