Standard Models from Heterotic M-theory
Standard Models from Heterotic M-theory
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杂种 M 理论的标准模型
DOI：
10.4310/atmp.2001.v5.n1.a4
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发表时间：
1999
期刊：
影响因子：
--
通讯作者：
D. Waldram
中科院分区：
文献类型：
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作者：
R. Donagi;B. Ovrut;T. Pantev;D. Waldram
本文提出了一类N=1的超对称粒子物理模型，它直接由杂化M理论导出，包含三个耦合到规范群SU（3）C\times SU（2）L\times U（1）Y\$的手征夸克和轻子族。这些模型是“膜世界”理论的基本形式，在卡-丘三重上紧化之后，每个可观察的和隐藏的扇区都被限制在一个BPS三膜上，该三膜被一个具有中等尺度大小的五维体空间分隔开。三个族的要求，再加上反常自由和超对称的基本条件，限制了这些模型包含额外的五个膜包裹在卡-丘三重的全纯曲线周围。这些五膜“生活”在体空间中，代表了这些粒子物理真空的新的、非微扰的方面。我们详细讨论了一类具有非平凡第一同伦群的环面纤维Calabi-Yau三重态的数学结构，并构造了这类三重态上的全纯向量丛，它通过包含Wilson线打破了标准模型规范群的规范对称性.在这种情况下，构造唯象粒子物理模型的规则，我们给出了一些明确的例子。
We present a class of N=1 supersymmetric models of particle physics, derived directly from heterotic M-theory, that contain three families of chiral quarks and leptons coupled to the gauge group $SU(3)_C\times SU(2)_{L}\times U(1)_{Y}$. These models are a fundamental form of ``brane-world'' theories, with an observable and hidden sector each confined, after compactification on a Calabi-Yau threefold, to a BPS threebrane separated by a five-dimensional bulk space with size of the order of the intermediate scale. The requirement of three families, coupled to the fundamental conditions of anomaly freedom and supersymmetry, constrains these models to contain additional fivebranes wrapped around holomorphic curves in the Calabi-Yau threefold. These fivebranes ``live'' in the bulk space and represent new, non-perturbative aspects of these particle physics vacua. We discuss, in detail, the relevant mathematical structure of a class of torus-fibered Calabi-Yau threefolds with non-trivial first homotopy groups and construct holomorphic vector bundles over such threefolds, which, by including Wilson lines, break the gauge symmetry to the standard model gauge group. Rules for constructing phenomenological particle physics models in this context are presented and we give a number of explicit examples.