A new approach to computation of the Special geometry on the Moduli space of Calabi-Yau manifolds

The requirement of the Space-time supersymmetry in String theory is equivalent to the geometrical condition of the compactification 6 of 6 dimensions on Calabi-Yau (CY) threefold. The massless sector of the Superstring theory after the compactification is physically the most important. The properties of the Effective Lagrangian of the model, which describes this sector, are defined in terms of the so-called Special Kahler geometry on CY moduli space. We suggest a new approach for computing the Special Kahler geometry based on the relation to the Landau-Ginzburg superpotential of the model with a Frobenius manifold structure. I'll show how apply this approach for computing the Kahler metric on the 101-dimentional moduli space of the Quintic threefold.