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Hodge Numbers for CICYs with Symmetries of Order Divisible by 4
Univ Oxford, Math Inst, Radcliffe Observ Quarter, Woodstock Rd, Oxford OX2 6GG, England.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
Univ Oxford, Rudolf Peierls Ctr Theoret Phys, 1 Keble Rd, Oxford OX1 3NP, England.
2016 (English)In: Fortschritte der Physik, ISSN 0015-8208, E-ISSN 1521-3978, Vol. 64, no 6-7, 463-509 p.Article in journal (Refereed) Published
Abstract [en]

We compute the Hodge numbers for the quotients of complete intersection Calabi-Yau three-folds by groups of orders divisible by 4. We make use of the polynomial deformation method and the counting of invariant Kahler classes. The quotients studied here have been obtained in the automated classification of V. Braun. Although the computer search found the freely acting groups, the Hodge numbers of the quotients were not calculated. The freely acting groups, G, that arise in the classification are either Z(2) or contain Z(4), Z(2) x Z(2), Z(3) or Z(5) as a subgroup. The Hodge numbers for the quotients for which the group G contains Z(3) or Z(5) have been computed previously. This paper deals with the remaining cases, for which G superset of Z(4) or G superset of Z(2) x Z(2). We also compute the Hodge numbers for 99 of the 166 CICY's which have Z(2) quotients.

Place, publisher, year, edition, pages
2016. Vol. 64, no 6-7, 463-509 p.
National Category
Subatomic Physics
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:uu:diva-288089DOI: 10.1002/prop.201600005ISI: 000384837400002OAI: oai:DiVA.org:uu-288089DiVA: diva2:923914
Available from: 2016-04-27 Created: 2016-04-27 Last updated: 2016-11-03Bibliographically approved

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