# Holomorphic anomalies, fourfolds and fluxes

@article{Lee2022HolomorphicAF,
title={Holomorphic anomalies, fourfolds and fluxes},
author={Seung-Joo Lee and Wolfgang Lerche and Guglielmo Lockhart and Timo Weigand},
journal={Journal of High Energy Physics},
year={2022}
}
• Published 1 December 2020
• Mathematics
• Journal of High Energy Physics
Abstract We investigate holomorphic anomalies of partition functions underlying string compactifications on Calabi-Yau fourfolds with background fluxes. For elliptic fourfolds the partition functions have an alternative interpretation as elliptic genera of N = 1 supersymmetric string theories in four dimensions, or as generating functions for relative, genus zero Gromov-Witten invariants of fourfolds with fluxes. We derive the holomorphic anomaly equations by starting from the BCOV formalism…
2 Citations
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LECTURES ON HOLOMORPHIC ANOMALY EQUATIONS (FOR THE WORKSHOP GEOMETRIC ASPECTS OF THE SWAMPLAND 2022, CFTMAT (MADRID))
Jacobi forms are 2-variable generalizations of modular forms, which capture the properties of the Jacobi theta functions. Quasi-Jacobi forms, which are constant terms of almost-holomorphic Jacobi

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