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Open Topological String Amplitudes on Calabi-Yau Threefolds by Extended Holomorphic Anomaly Equation

2022/07/23 by Xuan Li, Li, Xuan, Yuan-Chun Jing +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2207.11501

openalex publication_date 2022/07/23 · openalex created_date 2022/07/28 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the open topological string amplitudes on Calabi-Yau threefolds by the extended holomorphic anomaly equation. The disk two-point function determined by the domainwall tension, together with the Yukawa couplings, solves the amplitudes with high genus and boundaries recursively. The BPS invariants encoded in the amplitudes are extracted by mirror symmetry.

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