Jacobian Calabi--Yau 3-fold and charge completeness in six-dimensional theory

IF 1 4区 物理与天体物理 Q3 PHYSICS, MATHEMATICAL
Kimura,Yusuke
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引用次数: 0

Abstract

We study aspects of an equivalent relation of the charge completeness in six-dimensional (6D) $\mathcal{N}=(1,0)$ supergravity theory and a standard assumption on the global structure of the gauge group involving F-theory geometry, recently proved by Morrison and Taylor. We constructed and analyzed a novel 6D supergravity theory, realized as F-theory, on an elliptically fibered Calabi--Yau 3-fold. Our construction yields a novel 6D theory with Mordell--Weil torsion $\mathbb{Z}_4\oplus\mathbb{Z}_4$. Furthermore, we deduce the gauge group and matter fields arising in the 6D F-theory model on the constructed elliptically fibered Calabi--Yau 3-fold. We also discuss the relations of the 6D F-theory model constructed in this study to stable degeneration and the dual heterotic string.
雅各布卡拉比--尤3折叠与六维理论中的电荷完备性
我们研究了六维(6D)$\mathcal{N}=(1,0)$超引力理论中电荷完备性的等价关系,以及莫里森和泰勒最近证明的涉及F理论几何的轨距群全局结构的标准假设。我们在椭圆纤维卡拉比--尤3折叠上构建并分析了一个以F理论实现的新型6D超引力理论。我们的构造产生了一个具有莫德尔--韦尔扭转(Mordell--Weil torsion)$\mathbb{Z}_4\oplus\mathbb{Z}_4$的新颖6D理论。此外,我们还推导了在构造的椭圆纤维卡拉比--尤3折叠上的6D F理论模型中产生的规组和物质场。我们还讨论了本研究中构建的6D F理论模型与稳定退化和对偶异质弦的关系。
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来源期刊
Advances in Theoretical and Mathematical Physics
Advances in Theoretical and Mathematical Physics 物理-物理:粒子与场物理
CiteScore
2.20
自引率
6.70%
发文量
0
审稿时长
>12 weeks
期刊介绍: Advances in Theoretical and Mathematical Physics is a bimonthly publication of the International Press, publishing papers on all areas in which theoretical physics and mathematics interact with each other.
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