论文标题
Sasaki-Einstein 7-manifolds y^{p,k}(cp^1 x cp^1)和y^{p,k}(cp^2)
Brane Brick Models for the Sasaki-Einstein 7-Manifolds Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2)
论文作者
论文摘要
确定了与y^{p,k}类(cp^1 x cp^1)和y^{p,k}(cp^2)歧管的2d(0,2)超对称量规理论。这些Sasaki-Einstein 7-manifolds上的复合锥是非紧凑型曲曲calabi-yau 4倍。这些无限的几何形状家族是Sasaki-Einstein 7 manifolds的最大家族,其指标,曲折图和体积功能是明确已知的。因此,这项工作列出了与已知指标相对应的4倍4倍的2D(0,2)超对称仪表的最大分类。
The 2d (0,2) supersymmetric gauge theories corresponding to the classes of Y^{p,k}(CP^1 x CP^1) and Y^{p,k}(CP^2) manifolds are identified. The complex cones over these Sasaki-Einstein 7-manifolds are non-compact toric Calabi-Yau 4-folds. These infinite families of geometries are the largest ones for Sasaki-Einstein 7-manifolds whose metrics, toric diagrams, and volume functions are known explicitly. This work therefore presents the largest classification of 2d (0,2) supersymmetric gauge theories corresponding to Calabi-Yau 4-folds with known metrics.