Topological String on Toric CY3s in Large Complex Structure Limit

dc.creatorDrissi, Lalla Btissam
dc.creatorJehjouh, Houda
dc.creatorSaidi, El Hassan
dc.date2008-12-02
dc.date.accessioned2026-07-07T12:51:25Z
dc.date.available2026-07-07T12:51:25Z
dc.descriptionWe 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 $μ$ toric CY3-folds in terms of supersymmetric gauged linear sigma model with \emph{non zero} gauge invariant superpotentials $% \mathcal{W}(Φ) $. Then, we focus on a one complex parameter supersymmetric $U(1) $ gauged model involving six chiral superfields ${Φ_{i}}$ with $\mathcal{W}=μ(\prod\nolimits_{i=0}^{5}Φ_{i}) $ and we use it to compute the function $\mathcal{Z}_{top}$ for the case of the local elliptic curve in the limit $μ\to \infty $.
dc.descriptionLatex, 38 pages, 12 figures. To appear in Nucl Phys B
dc.identifierhttps://arxiv.org/abs/0812.0526
dc.identifierhttp://arxiv.org/abs/0812.0526
dc.identifierNucl.Phys.B813:315-348,2009
dc.identifierdoi:10.1016/j.nuclphysb.2008.11.030
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/222983
dc.subjectHigh Energy Physics - Theory
dc.titleTopological String on Toric CY3s in Large Complex Structure Limit
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