Lectures on BCOV holomorphic anomaly equations
Atsushi Kanazawa, Jie Zhou
TL;DR
This paper surveys the mathematical aspects of the BCOV holomorphic anomaly equations, providing an overview of their theoretical foundations and significance in the context of Calabi-Yau varieties.
Contribution
It offers a comprehensive review of the BCOV holomorphic anomaly equations, highlighting their mathematical structure and relevance in string theory and algebraic geometry.
Findings
Clarifies the mathematical structure of BCOV equations
Connects holomorphic anomaly equations to Calabi-Yau geometry
Provides insights from lecture-based exposition
Abstract
The present article surveys some mathematical aspects of the BCOV holomorphic anomaly equations introduced by Bershadsky, Cecotti, Ooguri and Vafa. It grew from a series of lectures the authors gave at the Fields Institute in the Thematic Program of Calabi-Yau Varieties in the fall of 2013.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Geometry and complex manifolds · Algebraic Geometry and Number Theory