A new construction of Calabi–Yau manifolds: Generalized CICYs

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dc.identifier.uri http://dx.doi.org/10.15488/356
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/379
dc.contributor.author Anderson, Lara B.
dc.contributor.author Apruzzi, Fabio
dc.contributor.author Gao, Xin
dc.contributor.author Gray, James
dc.contributor.author Lee, Seung-Joo
dc.date.accessioned 2016-07-12T08:54:21Z
dc.date.available 2016-07-12T08:54:21Z
dc.date.issued 2016
dc.identifier.citation Anderson, Lara B.; Apruzzi, Fabio; Gao, Xin; Gray, James; Lee, Seung-Joo: A new construction of Calabi–Yau manifolds: Generalized CICYs. In: Nuclear Physics B 906 (2016), S. 441-496. DOI: http://dx.doi.org/10.1016/j.nuclphysb.2016.03.016
dc.description.abstract We present a generalization of the complete intersection in products of projective space (CICY) construction of Calabi–Yau manifolds. CICY three-folds and four-folds have been studied extensively in the physics literature. Their utility stems from the fact that they can be simply described in terms of a ‘configuration matrix’, a matrix of integers from which many of the details of the geometries can be easily extracted. The generalization we present is to allow negative integers in the configuration matrices which were previously taken to have positive semi-definite entries. This broadening of the complete intersection construction leads to a larger class of Calabi–Yau manifolds than that considered in previous work, which nevertheless enjoys much of the same degree of calculational control. These new Calabi–Yau manifolds are complete intersections in (not necessarily Fano) ambient spaces with an effective anticanonical class. We find examples with topology distinct from any that has appeared in the literature to date. The new manifolds thus obtained have many interesting features. For example, they can have smaller Hodge numbers than ordinary CICYs and lead to many examples with elliptic and K3-fibration structures relevant to F-theory and string dualities. eng
dc.language.iso eng
dc.publisher Amsterdam : Elsevier
dc.relation.ispartofseries Nuclear Physics B 906 (2016)
dc.rights CC BY 4.0 Unported
dc.rights.uri http://creativecommons.org/licenses/by/4.0/
dc.subject gCICY eng
dc.subject Nuclar physics eng
dc.subject.ddc 530 | Physik ger
dc.title A new construction of Calabi–Yau manifolds: Generalized CICYs eng
dc.type article
dc.type Text
dc.relation.essn 1873-1562
dc.relation.issn 0550-3213
dc.relation.doi http://dx.doi.org/10.1016/j.nuclphysb.2016.03.016
dc.bibliographicCitation.volume 906
dc.bibliographicCitation.firstPage 441
dc.bibliographicCitation.lastPage 496
dc.description.version publishedVersion
tib.accessRights frei zug�nglich

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