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arXiv 2012.05249hep-th
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例外场论中的Kaluza-Klein费米子质量矩阵和${\cal N} =1$谱

Kaluza-Klein fermion mass matrices from Exceptional Field Theory and ${\cal N} =1$ spectra

Mattia Cesaro, Oscar Varela

备注：
46 pages, 25 tables; v2, minor typos corrected
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摘要：

利用例外场论，我们确定了具有拓扑球内部空间的M-理论和有质量IIA型弦论的一类反de Sitter解上的引力子和自旋- $1/2$ Kaluza-Klein微扰的无限维质量矩阵.然后，我们使用这些质量矩阵来计算此类具有包含SU（3）的内部对称群的某些解的卡鲁扎-克莱因费米子谱。将这些结果与已知的玻色子谱相结合，给出了一类${\cal N}=1$和一类非超对称解的完整谱.完整的光谱显示享有某些通用功能。

英文摘要：

Using Exceptional Field Theory, we determine the infinite-dimensional mass matrices for the gravitino and spin-$1/2$ Kaluza-Klein perturbations above a class of anti-de Sitter solutions of M-theory and massive type IIA string theory with topologically-spherical internal spaces. We then use these mass matrices to compute the spectrum of Kaluza-Klein fermions about some solutions in this class with internal symmetry groups containing SU(3). Combining these results with previously known bosonic sectors of the spectra, we give the complete spectrum about some ${\cal N}=1$ and some non-supersymmetric solutions in this class. The complete spectra are shown to enjoy certain generic features.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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