论文标题
通用调谐$(\ text {su}(3)\ times \ text {su}(2)(2)\ times \ text {u}(1)))/\ mathbb {z} _ {6} $ 4D F-theory模型
Chiral spectrum of the universal tuned $(\text{SU}(3) \times \text{SU}(2) \times \text{U}(1))/\mathbb{Z}_{6}$ 4D F-theory model
论文作者
论文摘要
我们使用最近开发的218.07810方法来分析4D通用$(\ text {su}(3)(3)(3)\ times \ text {su}(su}(su}(2)\ times \ times \ times \ text \ text {u}(u}(u}(u}(u}(u}),使用调谐$(\ text {su}(3)\ times \ text {su}(2)(2)(2)\ times \ text {u(} 1))/\ mathbb {z} _ {6} _ {6} $ GAUGE SYMENTRY。我们的分析重点是解决$(\ text {su}(3)\ times \ text {su}(2)(2)\ times \ times \ text {u}(1))/\ mathbb {z} _ {6} _ {6} $模型中的椭圆形,$ mathbb^$ fmime fmerial fmiral flove flome, 根据。我们表明,垂直通量可以为满足4D异常取消的所有手性质家族产生非零的多重性,其中包括特殊情况,即最小的超对称标准模型的手性质家族。
We use the recently developed methods of 2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal $(\text{SU}(3) \times \text{SU}(2) \times \text{U}(1))/\mathbb{Z}_{6}$ model introduced in 1912.10991, which is believed to describe the most general generic family of F-theory vacua with tuned $(\text{SU}(3) \times \text{SU}(2) \times \text{U(}1))/\mathbb{Z}_{6}$ gauge symmetry. Our analysis focuses on a resolution of a particular presentation of the $(\text{SU}(3) \times \text{SU}(2) \times \text{U}(1))/\mathbb{Z}_{6}$ model in which the elliptic fiber is realized as a cubic in $\mathbb{P}^2$ fibered over an arbitrary smooth threefold base. We show that vertical fluxes can produce nonzero multiplicities for all chiral matter families that satisfy 4D anomaly cancellation, which include as a special case the chiral matter families of the Minimal Supersymmetric Standard Model.