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Calabi-Yau manifolds and SU(3) structure
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Parks Rd, Oxford OX1 3PU, England.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Parks Rd, Oxford OX1 3PU, England.ORCID iD: 0000-0002-8409-9823
2019 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 1, article id 171Article in journal (Refereed) Published
Abstract [en]

We show that non-trivial SU(3) structures can be constructed on large classes of Calabi-Yau three-folds. Specifically, we focus on Calabi-Yau three-folds constructed as complete intersections in products of projective spaces, although we expect similar methods to apply to other constructions and also to Calabi-Yau four-folds. Among the wide range of possible SU(3) structures we find Strominger-Hull systems, suitable for heterotic or type II string compactifications, on all complete intersection Calabi-Yau manifolds. These SU(3) structures of Strominger-Hull type have a non-vanishing and non-closed three-form flux which needs to be supported by source terms in the associated Bianchi identity. We discuss the possibility of finding such source terms and present first steps towards their explicit construction. Provided suitable sources exist, our methods lead to Calabi-Yau compactifications of string theory with a non Ricci-flat, physical metric which can be written down explicitly and in analytic form.

Place, publisher, year, edition, pages
SPRINGER , 2019. no 1, article id 171
Keywords [en]
Flux compactifications, Superstring Vacua, Superstrings and Heterotic Strings
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-376825DOI: 10.1007/JHEP01(2019)171ISI: 000456586600002OAI: oai:DiVA.org:uu-376825DiVA, id: diva2:1288868
Funder
Swedish Research Council, 2016-03873Available from: 2019-02-14 Created: 2019-02-14 Last updated: 2019-02-14Bibliographically approved

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Larfors, Magdalena

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