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}
}
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… 
Weyl invariant Jacobi forms along Higgsing trees
Abstract: Using topological string techniques, we compute BPS counting functions of 5d gauge theories which descend from 6d superconformal field theories upon circle compactification. Such theories
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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