Wilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactifications

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dc.contributor.authorApruzzi, Fabioen
dc.contributor.authorGautason, Fridrik Freyren
dc.contributor.authorParameswaran, Sushaen
dc.contributor.authorZagermann, Marcoen
dc.contributor.departmentPhysicsen
dc.date.accessioned2019-03-11T15:27:13Zen
dc.date.available2019-03-11T15:27:13Zen
dc.date.issued2015-02-27en
dc.description.abstractWe study to what extent Wilson lines in heterotic Calabi-Yau compactifications lead to non-trivial H-flux via Chern-Simons terms. Wilson lines are basic ingredients for Standard Model constructions but their induced H-flux may affect the consistency of the leading order background geometry and of the two-dimensional worldsheet theory. Moreover H-flux in heterotic compactifications would play an important role for moduli stabilization and could strongly constrain the supersymmetry breaking scale. We show how to compute H-flux and the corresponding superpotential, given an explicit complete intersection Calabi-Yau compactification and choice of Wilson lines. We do so by identifying large classes of special Lagrangian submanifolds in the Calabi-Yau, understanding how the Wilson lines project onto these submanifolds, and computing their Chern-Simons invariants. We illustrate our procedure with the quintic hypersurface as well as the split-bicubic, which can provide a potentially realistic three generation model.en
dc.description.notesWe are grateful to Lara Anderson, Gilberto Bini, Volker Braun, Athanasios Chatzistavrakidis, James Gray, Alexander Haupt, Andrea Jaramillo Puentes, Malek Jouniaah, Diego Matessi, Nicola Pagani, Eran Palti, Frithjof Schulze, Eric Sharpe, Inken Siemon and Davide Veniani for helpful conversations. FA would like to thank Virginia Tech for hospitality during the final stages of this work. PEG would like to thank the SCGP for hospitality and financial support during the 2014 Simons Summer Workshop. This work was in part supported by the German Research Foundation (DFG) within the Cluster of Excellence QUEST and the RTG 1463 "Analysis, Geometry and String Theory".en
dc.description.sponsorshipSCGPen
dc.description.sponsorshipGerman Research Foundation (DFG) within the Cluster of Excellence QUESTen
dc.description.sponsorshipRTG [1463]en
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP02(2015)183en
dc.identifier.issn1029-8479en
dc.identifier.issue2en
dc.identifier.other183en
dc.identifier.urihttp://hdl.handle.net/10919/88410en
dc.language.isoen_USen
dc.publisherSpringeren
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectFlux compactificationsen
dc.subjectCompactification and String Modelsen
dc.subjectSuperstrings and Heterotic Stringsen
dc.subjectSuperstring Vacuaen
dc.titleWilson lines and Chern-Simons flux in explicit heterotic Calabi-Yau compactificationsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypeTexten
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