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Holomorphic anomalies, fourfolds and fluxes

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dc.contributor.authorSeung-Joo Lee-
dc.contributor.authorWolfgang Lerche-
dc.contributor.authorGuglielmo Lockhart-
dc.contributor.authorTimo Weigand-
dc.date.accessioned2022-04-07T04:52:19Z-
dc.date.available2022-04-07T04:52:19Z-
dc.date.created2022-03-29-
dc.date.issued2022-03-
dc.identifier.issn1126-6708-
dc.identifier.urihttps://pr.ibs.re.kr/handle/8788114/11356-
dc.description.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.-
dc.language영어-
dc.publisherSpringer Science and Business Media Deutschland GmbH-
dc.titleHolomorphic anomalies, fourfolds and fluxes-
dc.typeArticle-
dc.type.rimsART-
dc.identifier.wosid000767926500007-
dc.identifier.scopusid2-s2.0-85126186399-
dc.identifier.rimsid77930-
dc.contributor.affiliatedAuthorSeung-Joo Lee-
dc.identifier.doi10.1007/JHEP03(2022)072-
dc.identifier.bibliographicCitationJournal of High Energy Physics, v.2022, no.3-
dc.relation.isPartOfJournal of High Energy Physics-
dc.citation.titleJournal of High Energy Physics-
dc.citation.volume2022-
dc.citation.number3-
dc.type.docTypeArticle-
dc.description.journalClass1-
dc.description.journalClass1-
dc.description.isOpenAccessN-
dc.description.journalRegisteredClassscie-
dc.description.journalRegisteredClassscopus-
dc.relation.journalResearchAreaPhysics-
dc.relation.journalWebOfScienceCategoryPhysics, Particles & Fields-
dc.subject.keywordPlusELLIPTIC GENERA-
dc.subject.keywordPlusSTRINGS-
dc.subject.keywordPlusGEOMETRY-
dc.subject.keywordPlusGRAVITY-
dc.subject.keywordPlusPHASE-
dc.subject.keywordPlusFORMS-
dc.subject.keywordAuthorF-Theory-
dc.subject.keywordAuthorTopological Strings-
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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