Exploring the vacuum geometry of N=1 gauge theories
Exploring the vacuum geometry of N=1 gauge theories
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DOI：
10.1016/j.nuclphysb.2006.06.001
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发表时间：
2006-04
期刊：
影响因子：
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通讯作者：
J. Gray;Yang-Hui He;Vishnu Jejjala;B. Nelson
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文献类型：
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作者：
J. Gray;Yang-Hui He;Vishnu Jejjala;B. Nelson
利用算法代数几何的技术，给出了一种新的有效的N=1规范理论真空空间的显式计算方法。我们强调发现这些空间的特殊几何性质在将现象学与高能物理的指导原则联系起来的重要性。我们通过解决MSSM的各个分部门来举例说明这种方法。特别是电弱理论的真空空间的几何结构，详细描述了有和没有右手中微子。我们讨论了我们的方法对寻找更高能量的基础物理证据的影响。最后，我们描述了如何使用我们的结果来排除某些自上而下的电弱物理结构。
Using techniques of algorithmic algebraic geometry, we present a new and efficient method for explicitly computing the vacuum space of N=1 gauge theories. We emphasize the importance of finding special geometric properties of these spaces in connecting phenomenology to guiding principles descending from high-energy physics. We exemplify the method by addressing various subsectors of the MSSM. In particular the geometry of the vacuum space of electroweak theory is described in detail, with and without right-handed neutrinos. We discuss the impact of our method on the search for evidence of underlying physics at a higher energy. Finally we describe how our results can be used to rule out certain top–down constructions of electroweak physics.