arXiv 0812.05262008-12-02hep-th

复曲面CY3s上的大型复杂结构极限拓扑弦

Topological String on Toric CY3s in Large Complex Structure Limit

Lalla Btissam Drissi, Houda Jehjouh, El Hassan Saidi

备注：: Latex, 38 pages, 12 figures. To appear in Nucl Phys B
发表信息：: Nucl.Phys.B813:315-348,2009
DOI：: 10.1016/j.nuclphysb.2008.11.030

摘要：

本文发展了一个非平面拓扑顶点形式，并利用它研究了复曲面Calabi-Yau三重（CY 3）类拓扑弦的A-模型配分函数$\mathcal{Z}_{top}$.为此，我们首先考虑了一般CY 3-折叠的$T^{2}\times R$特殊拉格朗日纤维化，并给出了大的$μ$复曲面CY 3-折叠类在具有\emph{non zero}规范不变超势$% \mathcal{W}(Φ) $的超对称规范线性σ模型中的实现.然后，我们重点研究了一个包含六个手征超场${Φ_{i}}$和$\mathcal{W}=μ(\prod\nolimits_{i=0}^{5}Φ_{i}) $的单复参数超对称$U(1) $规范模型，并利用它计算了局部椭圆曲线在极限$μ\to \infty $上的函数$\mathcal{Z}_{top}$。

英文摘要：

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 $μ$ 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 $.

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