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Line Bundle Cohomologies on CICYs with Picard Number Two
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
(English)In: Fortschritte der Physik, ISSN 0015-8208, E-ISSN 1521-3978Article in journal (Refereed) Epub ahead of print
Abstract [en]

We analyse line bundle cohomologies on all favourable co-dimension two Complete Intersection Calabi Yau (CICY) manifolds of Picard number two. Our results provide further evidence that the cohomology dimensions of such line bundles are given by analytic expressions, which change between regions in the line bundle charge space. This agrees with recent observations of CY line bundles presented in Refs. [1, 2]. In many cases, the expressions for bundle cohomology dimensions are polynomial functions of the line bundle charges (of degree at most 3), and the regions are cones. A more novel observation is that for some CICY manifolds, the cohomologies are more succinctly determined by recursive relationships. There can also be boundaries between regions where a polynomial fit fails, and we link these exceptional cases to irregular behaviour of the index of the line bundle. Finally, our observations provide evidence for similarities in the line bundle cohomologies for CICY manifolds that share rows in the configuration matrix. Among such related CICY manifolds, we find both that the line bundle charge space is partitioned in the same manner, and that the same, or closely related, analytical descriptions apply for the cohomology dimensions in these regions.

Place, publisher, year, edition, pages
WILEY-V C H VERLAG GMBH.
Keywords [en]
CICY, heterotic string compactification, Hodge numbers, line bundle
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-397600DOI: 10.1002/prop.201900083ISI: 000494584600001OAI: oai:DiVA.org:uu-397600DiVA, id: diva2:1372207
Funder
Swedish Research Council, 2016-03873Swedish Research Council, 2016-03503Available from: 2019-11-22 Created: 2019-11-22 Last updated: 2019-11-22

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Larfors, MagdalenaSchneider, Robin

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