非态形式Weierstrass模型F-理论中SU（2）的三指数对称物质表示
Three-Index Symmetric Matter Representations of SU(2) in F-Theory from Non-Tate Form Weierstrass Models
摘要：
我们给出了SU（2）的三指数对称（4）表示中物质的一类F-理论模型的显式构造。这一点在F理论基础的余维二位点上得以实现，其中携带规范群的因子是奇异的;相关的维尔斯特拉斯模型不具有与一般SU（2）泰特模型相关的形式。对于6D理论，物质定域在支持SU（2）群的曲线中算术亏格g=3的三相点奇点处。这是F理论中物质的第一个明确的实现，对应于大于1的亏格贡献。该结构是通过“unHiggsing”一个具有U（1）规范因子的模型实现的，在该模型下存在电荷q=3的物质。由此得到的SU（2）模型可以进一步去Higgsed，以实现具有更常规物质含量的非阿贝尔G_2xSU（2）模型或具有三基元物质的SU（2）^3模型。作为这种构造基础的U（1）模型似乎没有莫里森-帕克发现的一般形式的维尔斯特拉斯实现，这表明可能需要对这种形式进行推广，以纳入具有任意物质表示和定域在奇异因子上的规范群的模型。
英文摘要：
We give an explicit construction of a class of F-theory models with matter in the three-index symmetric (4) representation of SU(2). This matter is realized at codimension two loci in the F-theory base where the divisor carrying the gauge group is singular; the associated Weierstrass model does not have the form associated with a generic SU(2) Tate model. For 6D theories, the matter is localized at a triple point singularity of arithmetic genus g=3 in the curve supporting the SU(2) group. This is the first explicit realization of matter in F-theory in a representation corresponding to a genus contribution greater than one. The construction is realized by "unHiggsing" a model with a U(1) gauge factor under which there is matter with charge q=3. The resulting SU(2) models can be further unHiggsed to realize non-Abelian G_2xSU(2) models with more conventional matter content or SU(2)^3 models with trifundamental matter. The U(1) models used as the basis for this construction do not seem to have a Weierstrass realization in the general form found by Morrison-Park, suggesting that a generalization of that form may be needed to incorporate models with arbitrary matter representations and gauge groups localized on singular divisors.
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。
