论文标题
Jacobian calabi-yau 3倍和六维理论的收费完整性
Jacobian Calabi-Yau 3-fold and charge completeness in six-dimensional theory
论文作者
论文摘要
我们研究了电荷完整性在六维（6D）$ \ MATHCAL {n} =（1,0）$超级理论中的等效关系的各个方面，以及莫里森和泰勒最近证明的涉及F理论几何的量规组的全球结构的标准假设。我们在椭圆纤维纤维的卡拉比野3倍上构建并分析了一种新颖的6D超级实现理论，被实现为F理论。我们的构造产生了一种新颖的6D理论，它使用mordell-weil扭转$ \ mathbb {z} _4 \ oplus \ mathbb {z} _4 $。此外，我们推断出在6D F理论模型上产生的量规组和物质场，椭圆形的纤维纤维calabi-yau 3倍。我们还讨论了本研究中构建的6D F理论模型与稳定变性和双重杂音字符串的关系。
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.
