Extending the geometry of heterotic spectral cover constructions

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dc.contributor.authorAnderson, Lara B.en
dc.contributor.authorGao, Xinen
dc.contributor.authorKarkheiran, Mohsenen
dc.contributor.departmentPhysicsen
dc.date.accessioned2020-11-25T13:46:34Zen
dc.date.available2020-11-25T13:46:34Zen
dc.date.issued2020-07en
dc.description.abstractIn this work we extend the well-known spectral cover construction first developed by Friedman, Morgan, and Witten to describe more general vector bundles on elliptically fibered Calabi-Yau geometries. In particular, we consider the case in which the Calabi-Yau fibration is not in Weierstrass form, but can rather contain fibral divisors or multiple sections (i.e. a higher rank Mordell-Weil group). In these cases, general vector bundles defined over such Calabi-Yau manifolds cannot be described by ordinary spectral data. To accomplish this we employ well established tools from the mathematics literature of Fourier-Mukai functors. We also generalize existing tools for explicitly computing Fourier-Mukai transforms of stable bundles on elliptic Calabi-Yau manifolds. As an example of these new tools we produce novel examples of chirality changing small instanton transitions. The goal of this work is to provide a geometric formalism that can substantially increase the understood regimes of heterotic/F-theory duality. (C) 2020 The Authors. Published by Elsevier B.V.en
dc.description.notesThe authors would like to thank A. Caldararu, P. Oehlmann, A.C. Lopez -Martin, and D.H. Ruiperez for useful discussions. In addition, LA and MK gratefully acknowledge the hospitality of the Simons Center for Geometry and Physics (and the semester long program, "The Geometry and Physics of Hitchin Systems") during the completion of this work. The work of LA is supported by NSF grant PHY-1720321.en
dc.description.sponsorshipNSFNational Science Foundation (NSF) [PHY-1720321]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1016/j.nuclphysb.2020.115003en
dc.identifier.eissn1873-1562en
dc.identifier.issn0550-3213en
dc.identifier.other115003en
dc.identifier.urihttp://hdl.handle.net/10919/100944en
dc.identifier.volume956en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.titleExtending the geometry of heterotic spectral cover constructionsen
dc.title.serialNuclear Physics Ben
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
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