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dc.contributor.authorAnderson, Lara B.en
dc.date.accessioned2017-02-05T00:55:54Zen
dc.date.available2017-02-05T00:55:54Zen
dc.identifier.urihttp://hdl.handle.net/10919/74933en
dc.description.abstractIn this work we review a systematic, algorithmic construction of dual heterotic/F-theory geometries corresponding to 4-dimensional, N = 1 supersymmetric compactifications. We look in detail at a class of well-defined Calabi-Yau fourfolds for which the standard formulation of the duality map appears to fail, leading to dual heterotic geometry which appears naively incompatible with the spectral cover construction of vector bundles. In the simplest class of examples the F-theory background consists of a generically singular elliptically fibered Calabi-Yau fourfold with E7 symmetry. The vector bundles arising in the corresponding heterotic theory appear to violate an integrality condition of an SU(2) spectral cover. A possible resolution of this puzzle is explored by studying the most general form of the integrality condition. This leads to the geometric challenge of determining the Picard group of surfaces of general type. We take an important first step in this direction by computing the Hodge numbers of an explicit spectral surface and bounding the Picard number.en
dc.relation.urihttp://arxiv.org/abs/1603.09198v1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjecthep-then
dc.subjecthep-then
dc.titleSpectral Covers, Integrality Conditions, and Heterotic/F-theory Dualityen
dc.typeArticle - Refereeden
dc.contributor.departmentCenter for Neutrino Physicsen
dc.contributor.departmentPhysicsen
dc.description.notes14 pages. To appear in the Proceedings of the Knoxville Special Session on Singularities and Physics, J. of Singularitiesen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/Science/Physicsen


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