2008/12/02 by L.B. Drissi, Lalla Btissam Drissi, Houda Jehjouh +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2008.11.030
published as Nucl.Phys.B813:315-348,2009 · Latex, 38 pages, 12 figures. To appear in Nucl Phys B
arxiv created 2008/12/02 · openalex publication_date 2008/12/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We develop a non planar topological vertex formalism and we use it to study the A-model partition function Ztop of topological string on the class of toric Calabi-Yau threefolds (CY3) in large complex structure limit. To that purpose, we first consider the T2× 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 non zero gauge invariant superpotentials % W(Φ) . Then, we focus on a one complex parameter supersymmetric U(1) gauged model involving six chiral superfields Φi with W=μ(∏\nolimitsi=05Φi) and we use it to compute the function Ztop for the case of the local elliptic curve in the limit μ→ ∞ .