论文标题
6D SCFT中的非相互连接的对称性
Non-Simply-Connected Symmetries in 6D SCFTs
论文作者
论文摘要
六维n =（1,0）超符合场理论可以通过椭圆纤维纤维的calabi-yau 3倍进行几何设计。我们在几何形状中包括扭转部分，这导致有限的mordell-weil群。这使我们能够确定完整的非亚伯群体结构，而不仅仅是代数。扭转的存在还修改了对称组的中心和可能出现的物质表示形式。这反过来影响了这些理论的张量分支。我们分析了具有扭转的大量超符合理论的变化，并明确构建了张量分支。最后，我们详细介绍了与双重杂项和M理论描述的联系，其中我们的配置被解释为离散载体Instantons的概括。
Six-dimensional N=(1,0) superconformal field theories can be engineered geometrically via F-theory on elliptically-fibered Calabi-Yau 3-folds. We include torsional sections in the geometry, which lead to a finite Mordell-Weil group. This allows us to identify the full non-Abelian group structure rather than just the algebra. The presence of torsion also modifies the center of the symmetry groups and the matter representations that can appear. This in turn affects the tensor branch of these theories. We analyze this change for a large class of superconformal theories with torsion and explicitly construct their tensor branches. Finally, we elaborate on the connection to the dual heterotic and M-theory description, in which our configurations are interpreted as generalizations of discrete holonomy instantons.
