Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-12-02
Nucl.Phys.B813:315-348,2009
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 38 pages, 12 figures. To appear in Nucl Phys B
Scientific paper
10.1016/j.nuclphysb.2008.11.030
We develop a non planar topological vertex formalism and we use it to study the A-model partition function $\mathcal{Z}_{top}$ of topological string on the class of toric Calabi-Yau threefolds (CY3) in large complex structure limit. To that purpose, we first consider the $T^{2}\times R$ special Lagrangian fibration of generic CY3-folds and we give the realization of the class of large $\mu $ toric CY3-folds in terms of supersymmetric gauged linear sigma model with \emph{non zero} gauge invariant superpotentials $% \mathcal{W}(\Phi ) $. Then, we focus on a one complex parameter supersymmetric $U(1) $ gauged model involving six chiral superfields ${\Phi_{i}}$ with $\mathcal{W}=\mu (\prod\nolimits_{i=0}^{5}\Phi_{i}) $ and we use it to compute the function $\mathcal{Z}_{top}$ for the case of the local elliptic curve in the limit $\mu \to \infty $.
Drissi Lalla Btissam
Jehjouh Houda
Saidi El Hassan
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