在景观中绘制岛屿地图
Mapping an Island in the Landscape
摘要：
我们对轨道T^6/Z '_6上所有具有相交D 6-膜的IIA型定向折叠紧化给出了一个完整的分类和统计分析。四维N=1超对称模型的总数为O（10^23）。在对所有可能解的规范扇区性质进行统计分析后，我们分别研究了标准模型、Pati-Salam模型和SU（5）大统一理论模型中包含手征物质扇区的三个组态子集.我们找到了MSSM的O（10^15）紧化和Pati-Salam扇区的O（10^11）模型。在此基础上，我们导出了一个计算所有Z_N轨道的非手征物质谱的显式代数公式。
英文摘要：
We provide a complete classification and statistical analysis of all type IIA orientifold compactifications with intersecting D6-branes on the orbifold T^6/Z'_6. The total number of four dimensional N=1 supersymmetric models is found to be O(10^23). After a statistical analysis of the gauge sector properties of all possible solutions, we study three subsets of configurations which contain the chiral matter sector of the standard model, a Pati-Salam or SU(5) GUT model, respectively. We find O(10^15) compactifications with an MSSM and O(10^11) models with a Pati-Salam sector. Along the way we derive an explicit algebraic formulation for the computation of the non-chiral matter spectrum for all Z_N orbifolds.
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