The minimum supersymmetric standard model on noncommutative geometry
The minimum supersymmetric standard model on noncommutative geometry
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非交换几何的最小超对称标准模型
DOI：
10.1093/ptep/ptu166
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发表时间：
2015
影响因子：
3.5
通讯作者：
and Hikaru Sato
中科院分区：
文献类型：
--
作者：
Masafumi Shimojo;Satoshi Ishihara;Hironobu Kataoka;Atsuko Matsukawa;and Hikaru Sato
我们得到了指定非对易几何的谱三元组的超对称扩张。我们假定泛函空间由最小超对称标准模型(MSSM)中包含的物质场及其超伴的波函数组成。介绍了狄拉克算子在有限空间上的内部涨落，以及由代数三元组的元素在流形上的涨落。因此，我们不仅得到了中介自由度的向量超乘子，而且从相同的角度得到了出现在MSSM中的希格斯超乘子。根据谱作用量原理的超对称形式，我们计算了涨落全狄拉克算符的平方，并验证了Seeley-DeWitt系数给出了矢量和希格斯超多重态的正确作用量。我们还验证了、和的耦合常数之间的关系与SU(5)统一理论的关系相同。
We have obtained the supersymmetric extension of a spectral triple that specifies a noncommutative geometry. We assume that the functional spaceconsists of wave functions of matter fields and their superpartners included in the minimum supersymmetric standard model (MSSM). We introduce the internal fluctuations of the Dirac operator on the finite space as well as on the manifold by elements of the algebrain the triple. So, we obtain not only the vector supermultiplets that mediategauge degrees of freedom but also Higgs supermultiplets that appear in the MSSM from the same standpoint. According to the supersymmetric version of the spectral action principle, we calculate the square of the fluctuated total Dirac operator and verify that the Seeley–DeWitt coefficients give the correct action of the vector and Higgs supermultiplets. We also verify that the relation between the coupling constants of,, andis same as that of SU(5) unification theory.