N = 2 SCVA's from a generalized Calabi-Yau manifold and mirror symmetry

We construct an N = 2 superconformal vertex algebra(SCVA) from a generalized Calabi-Yau manifold and compute the BRST cohomology of its associated topolog-ical vertex algebras. We show that the BRST cohomology coincides with the generalized Dobeault cohomology. We show that the two topological vertex algebras constructed from the N = 2 SCVA by A and B twist respectively are mirror pairs.