Extending the Picard-Fuchs system of local mirror symmetry

DOI10.1063/1.1996441zbMath1110.32011arXivhep-th/0503098OpenAlexW2144510842MaRDI QIDQ3438552

Masao Jinzenji, Brian Forbes

Publication date: 16 May 2007

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0503098

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Period matrices, variation of Hodge structure; degenerations (32G20) Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05)

Related Items

J FUNCTIONS, NON-NEF TORIC VARIETIES AND EQUIVARIANT LOCAL MIRROR SYMMETRY OF CURVES, Exact Kähler potential for Calabi-Yau fourfolds, A hyperkähler geometry associated to the BPS structure of the resolved conifold, Mirror map as generating function of intersection numbers: toric manifolds with two Kähler forms, S-duality and the universal isometries of instanton corrected q-map spaces, Quantum curves, resurgence and exact WKB, Open orbifold Gromov-Witten invariants of \({[\mathbb{C}^3/\mathbb{Z}_n}\): Localization and mirror symmetry], Quantum geometry of del Pezzo surfaces in the Nekrasov-Shatashvili limit, Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model, Exact results for topological strings on resolved \(Y^{p,q}\) singularities, Exploring 5d BPS spectra with exponential networks

Cites Work

• Geometric engineering of quantum field theories
• Phases of \(N=2\) theories in two dimensions
• Local mirror symmetry: Calculations and interpretations
• On the gauge theory/geometry correspondence
• A large \(N\) duality via a geometric transition