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LEE, Seung Joo
순수물리이론 연구단
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Holomorphic anomalies, fourfolds and fluxes

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Title
Holomorphic anomalies, fourfolds and fluxes
Author(s)
Seung-Joo Lee; Wolfgang Lerche; Guglielmo Lockhart; Timo Weigand
Publication Date
2022-03-01
Journal
Journal of High Energy Physics, v.2022, no.3
Publisher
Springer Science and Business Media Deutschland GmbH
Abstract
© 2022, The Author(s).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 of topological strings, and translating them into geometrical terms. The result can be recast into modular and elliptic anomaly equations. As a new feature, as compared to threefolds, we find an extra contribution which is given by a gravitational descendant invariant. This leads to linear terms in the anomaly equations, which support an algebra of derivatives mapping between partition functions of the various flux sectors. These geometric features are mirrored by certain properties of quasi-Jacobi forms. We also offer an interpretation of the physics from the viewpoint of the worldsheet theory, and comment on holomorphic anomalies at genus one.
URI
https://pr.ibs.re.kr/handle/8788114/11356
DOI
10.1007/JHEP03(2022)072
ISSN
1126-6708
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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