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arXiv 0906.5501hep-th
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杂种优势景观中的局部大统一

Local Grand Unification in the Heterotic Landscape

Jonas Schmidt

备注：
141 pages, 6 figures, Ph.D. thesis
发表信息：
Fortsch.Phys.58:3-111,2010
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摘要：

我们考虑的可能性，统一的电弱相互作用和强大的力量来自弦论，在能量显着低于弦尺度。作为一种工具，从杂化弦的各向异性轨道紧化出发，导出了一个有效的六维大统一场论。它明确地表明，所有的异常取消模型中，虽然反常阿贝尔规范对称性是本本地的边界奇点。在超对称真空中，额外的相互作用来自于更高维的算符。我们开发的方法，涉及耦合的有效理论的真空的位置，并发现，不间断的离散对称性发挥了重要作用的现象学的orbifold模型。本文基于对称性论证，提出了一种计算任意阶超势的有效算法。此外，我们提出了一个对应的体积字段的orbifold模型在六个维度，和模场所产生的紧致的四个内部维度上的流形与非平凡的规范背景。

英文摘要：

We consider the possibility that the unification of the electroweak interactions and the strong force arises from string theory, at energies significantly lower than the string scale. As a tool, an effective grand unified field theory in six dimensions is derived from an anisotropic orbifold compactification of the heterotic string. It is explicitly shown that all anomalies cancel in the model, though anomalous Abelian gauge symmetries are present locally at the boundary singularities. In the supersymmetric vacuum additional interactions arise from higher-dimensional operators. We develop methods that relate the couplings of the effective theory to the location of the vacuum, and find that unbroken discrete symmetries play an important role for the phenomenology of orbifold models. An efficient algorithm for the calculation of the superpotential to arbitrary order is developed, based on symmetry arguments. We furthermore present a correspondence between bulk fields of the orbifold model in six dimensions, and the moduli fields that arise from compactifying four internal dimensions on a manifold with non-trivial gauge background.

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