Tropical mirror symmetry for toric variaties

We consider tropical curves in a tropical toric manifold that pass through the tropical cycles. Such curves are represented by a special kind of trees in the polygon that represents tropical toric manifold. The Gromov–Witten invariant appears from counting such trees with proper weights. We show that trees are just Feynman diagrams in the BCOV-like quantum field theory that represents the type B side of the mirror. We conjecture how this interpretation of mirror may be generalized to a general tropic manifold.