Local B-model and Mixed Hodge Structure

2009/07/23 by Yukiko Konishi, Konishi, Yukiko, Satoshi Minabe +1 · 1 citation
Mathematics · Physics and Astronomy · #14D07 #14J32 (Primary) #14N35 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.0907.4108

openalex publication_date 2009/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the mixed Hodge theoretic aspects of the B-model side of local mirror symmetry. Our main objectives are to define an analogue of the Yukawa coupling in terms of the variations of the mixed Hodge structures and to study its properties. We also describe a local version of Bershadsky-Cecotti-Ooguri-Vafa's holomorphic anomaly equation.

Citations

• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• D-Branes And Mirror Symmetry

Cited by

• Hodge-theoretic Open/Closed Correspondence

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