We describe general classes of 6D and 4D F‐theory models with gauge group . We prove that this set of constructions gives all possible consistent 6D supergravity theories with no tensor multiplets having this gauge group and the corresponding generic matter representations, which include those of the MSSM. We expect, though do not prove, that these models are similarly generic for 6D theories with tensor multiplets and for 4D supergravity theories. The largest class of these constructions come from deforming an underlying geometry with gauge symmetry .

中文翻译：

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标准模型规范组的通用构造和F理论中的物质表示

我们用量规组描述了6D和4D F理论模型的一般类别。我们证明，这组构造给出了所有可能的一致6D超重力理论，而没有具有该规范组和相应的通用物质表示（包括MSSM的表示）的张量多重峰。我们希望（尽管不能证明）这些模型对于具有张量多重性的6D理论和4D超重力理论具有相似的通用性。这些结构中最大的一类来自使具有规范对称性的基础几何形状变形。