Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections

Abstract Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with h 1,1(X) ≤ 12. Our approach involved non-trivial ℤ2 involutions, incorporating both divisor exchanges and multi-divisor reflections...

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Main Authors: Xu Cao, Hongfei Gao, Xin Gao
Format: Article
Language:English
Published: SpringerOpen 2024-10-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP10(2024)188
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author Xu Cao
Hongfei Gao
Xin Gao
author_facet Xu Cao
Hongfei Gao
Xin Gao
author_sort Xu Cao
collection DOAJ
description Abstract Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with h 1,1(X) ≤ 12. Our approach involved non-trivial ℤ2 involutions, incorporating both divisor exchanges and multi-divisor reflections acting on the Calabi-Yau threefolds. Each proper involution results in an orientifold Calabi-Yau threefolds and we constructed 320, 386, 067 such examples. We developed a novel algorithm that significantly reduces the complexity of determining all the fixed loci under the involutions, and clarifies the types of O-planes. Our results show that under proper involutions, the majority of cases end up with O3/O7-plane systems, and most of these further admit a naive Type IIB string vacua. Additionally, a new type of free action was determined. We also computed the smoothness and the splitting of Hodge numbers in the ℤ2-orbifold limit for these orientifold Calabi-Yau threefolds.
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spelling doaj-art-dbe814fd5e29480b9d132bf4dd5acd5b2024-12-08T12:11:51ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241015310.1007/JHEP10(2024)188Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflectionsXu Cao0Hongfei Gao1Xin Gao2College of Physics, Sichuan UniversityCollege of Physics, Sichuan UniversityCollege of Physics, Sichuan UniversityAbstract Using the Kreuzer-Skarke database of 4-dimensional reflexive polytopes, we systematically constructed a new database of orientifold Calabi-Yau threefolds with h 1,1(X) ≤ 12. Our approach involved non-trivial ℤ2 involutions, incorporating both divisor exchanges and multi-divisor reflections acting on the Calabi-Yau threefolds. Each proper involution results in an orientifold Calabi-Yau threefolds and we constructed 320, 386, 067 such examples. We developed a novel algorithm that significantly reduces the complexity of determining all the fixed loci under the involutions, and clarifies the types of O-planes. Our results show that under proper involutions, the majority of cases end up with O3/O7-plane systems, and most of these further admit a naive Type IIB string vacua. Additionally, a new type of free action was determined. We also computed the smoothness and the splitting of Hodge numbers in the ℤ2-orbifold limit for these orientifold Calabi-Yau threefolds.https://doi.org/10.1007/JHEP10(2024)188Flux CompactificationsSuperstring Vacua
spellingShingle Xu Cao
Hongfei Gao
Xin Gao
Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
Journal of High Energy Physics
Flux Compactifications
Superstring Vacua
title Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
title_full Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
title_fullStr Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
title_full_unstemmed Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
title_short Orientifold Calabi-Yau threefolds: divisor exchanges and multi-reflections
title_sort orientifold calabi yau threefolds divisor exchanges and multi reflections
topic Flux Compactifications
Superstring Vacua
url https://doi.org/10.1007/JHEP10(2024)188
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AT hongfeigao orientifoldcalabiyauthreefoldsdivisorexchangesandmultireflections
AT xingao orientifoldcalabiyauthreefoldsdivisorexchangesandmultireflections