Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
Type II string theory on Calabi-Yau manifolds with torsion and non-Abelian discrete gauge symmetries
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具有扭转和非阿贝尔离散规范对称的 Calabi-Yau 流形上的 II 型弦理论
DOI：
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发表时间：
2017
期刊：
影响因子：
--
通讯作者：
Maximilian Poretschkin
中科院分区：
文献类型：
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作者：
V. Braun;M. Cvetič;R. Donagi;Maximilian Poretschkin
本文给出了在具有挠率的整体定义的Calabi-Yau三重空间上的IIB型弦理论紧化的第一个显式例子，它导致了具有非阿贝尔离散规范对称性的四维有效理论。我们的例子是基于一个特殊的卡-丘流形，三个椭圆曲线的乘积与一个不动点自由作用的商为2× 2$$ {\mathbb {Z}}_2\times {\mathbb{Z}}_2 $$。它的上同调包含不同程度的挠类。主要的技术新奇是在确定乘法结构的（扭转部分）的上同调环，特别是表明，杯产品的第二上同调扭转元素去非平凡的第四上同调。这指定了一个非阿贝尔，海森堡型离散对称群的cfour-dimensional理论。
A bstractWe provide the first explicit example of Type IIB string theory compactification on a globally defined Calabi-Yau threefold with torsion which results in a four-dimensional effective theory with a non-Abelian discrete gauge symmetry. Our example is based on a particular Calabi-Yau manifold, the quotient of a product of three elliptic curves by a fixed point free action of ℤ2×ℤ2$$ {\mathbb{Z}}_2\times {\mathbb{Z}}_2 $$. Its cohomology contains torsion classes in various degrees. The main technical novelty is in determining the multiplicative structure of the (torsion part of) the cohomology ring, and in particular showing that the cup product of second cohomology torsion elements goes non-trivially to the fourth cohomology. This specifies a non-Abelian, Heisenberg-type discrete symmetry group of the cfour-dimensional theory.
一属纤维振动的 F 理论
影响因子：
5.4
作者：
Braun V
通讯作者：
Braun V
四维 F 理论紧化中 Higgsing 的离散规范对称性
影响因子：
5.4
作者：
Mayrhofer;Weigand
通讯作者：
Weigand