Generalized vanishing theorems for Yukawa couplings in heterotic compactifications

Simple item page
dc.contributor.authorAnderson, Lara B.en
dc.contributor.authorGray, James A.en
dc.contributor.authorLarfors, Magdalenaen
dc.contributor.authorMagill, Matthewen
dc.contributor.authorSchneider, Robinen
dc.date.accessioned2021-11-23T14:29:30Zen
dc.date.available2021-11-23T14:29:30Zen
dc.date.issued2021-05-12en
dc.description.abstractHeterotic compactifications on Calabi-Yau threefolds frequently exhibit textures of vanishing Yukawa couplings in their low energy description. The vanishing of these couplings is often not enforced by any obvious symmetry and appears to be topological in nature. Recent results used differential geometric methods to explain the origin of some of this structure [1, 2]. A vanishing theorem was given which showed that the effect could be attributed, in part, to the embedding of the Calabi-Yau manifolds of interest inside higher dimensional ambient spaces, if the gauge bundles involved descended from vector bundles on those larger manifolds. In this paper, we utilize an algebro-geometric approach to provide an alternative derivation of some of these results, and are thus able to generalize them to a much wider arena than has been considered before. For example, we consider cases where the vector bundles of interest do not descend from bundles on the ambient space. In such a manner we are able to highlight the ubiquity with which textures of vanishing Yukawa couplings can be expected to arise in heterotic compactifications, with multiple different constraints arising from a plethora of different geometric features associated to the gauge bundle.en
dc.description.notesThe work of L.A and J.G. are supported in part by NSF grant PHY-2014086. M.L., M.M. and R.S. are funded in part by Vetenskapsradet, under grant numbers 2016-03873, 2016-03503, and 2020-03230.en
dc.description.sponsorshipNSFNational Science Foundation (NSF) [PHY-2014086]; VetenskapsradetSwedish Research Council [2016-03873, 2016-03503, 2020-03230]en
dc.description.versionPublished versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.doihttps://doi.org/10.1007/JHEP05(2021)085en
dc.identifier.issn1029-8479en
dc.identifier.issue5en
dc.identifier.other85en
dc.identifier.urihttp://hdl.handle.net/10919/106720en
dc.language.isoenen
dc.rightsCreative Commons Attribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDifferential and Algebraic Geometryen
dc.subjectEffective Field Theoriesen
dc.subjectSuperstring Vacuaen
dc.titleGeneralized vanishing theorems for Yukawa couplings in heterotic compactificationsen
dc.title.serialJournal of High Energy Physicsen
dc.typeArticle - Refereeden
dc.type.dcmitypetexten

Files

Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Anderson2021_Article_GeneralizedVanishingTheoremsFo.pdf
Size:
599.6 KB
Format:
Adobe Portable Document Format
Description:
Published version
Download

Collections

Scholarly Works, Physics