  In mirror symmetry, after the work by J. Walcher, the number of holomorphic
disks with boundary on the real quintic lagrangian in a general quintic
threefold is related to the periods of the mirror quintic family with boundary
on two homologous rational curves. Following the ideias of H.Movasati, we
construct a quasi-affine space parametrizing such objects enhanced with a frame
for the relative de Rham cohomology with boundary at the curves compatible with
the mixed Hodge structure. We also compute a modular vector field attached to
such a parametrization.
