Topological string on toric CY3s in large complex structure limit Original Research Article

We develop a non-planar topological vertex formalism and we use it to study the A-model partition function image of topological string on the class of toric Calabi–Yau threefolds (CY3) in large complex structure limit. To that purpose, we first consider the image special Lagrangian fibration of generic CY3-folds and we give the realization of the class of large μ toric CY3-folds in terms of supersymmetric gauged linear sigma model with non-zero gauge invariant superpotentials image. Then, we focus on a one complex parameter supersymmetric image gauged model involving six chiral superfields image with image and we use it to compute the function image for the case of the local elliptic curve in the limit image.