Non-planar topological 3-vertex formalism Original Research Article

Using embeddings of complex curves in the complex projective plane image, we develop a non-planar topological 3-vertex formalism for topological strings on the family of local Calabi–Yau threefolds image. The base image stands for the degenerate elliptic curve with Kähler parameter t; but a large complex structure μ; i.e. image. We also give first results regarding A-model topological string amplitudes on image. The 2D image gauged image supersymmetric sigma models of the degenerate elliptic curve image as well as for the family image are studied and the role of D- and F-terms is explicitly exhibited.