Holomorphic anomalies, fourfolds and fluxes

  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},
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… 
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