Topological String on Toric CY3s in Large Complex Structure Limit

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...

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Bibliographic Details
Published in:arXiv.org 2008-12
Main Authors: Lalla Btissam Drissi, Jehjouh, Houda, El Hassan Saidi
Format: Article
Language:English
Subjects:
Curves
Partitions (mathematics)
Supersymmetry
Topology
Online Access:Get full text
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Summary: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 \(\mu \to \infty \).
ISSN:2331-8422
DOI:10.48550/arxiv.0812.0526