论文标题
5D $ \ MATHCAL {N} = 1 $ SUPERGRAVITY上的Swampland约束
Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
论文作者
论文摘要
我们建议对一致的5维$ {\ cal n} = 1 $超级重力理论提出Swampland限制。我们专注于在重力理论中出现的一类BPS磁单阀字符串。这些字符串上2D CFT的中心电荷和当前代数水平可以通过异常流入机制来计算，并用于基于世界表格CFT的单位性的5D超级层次的有效作用，以提供对低能粒子谱的约束。在M理论中，这些理论是通过3倍的Calabi-yau上的压实来实现的，特殊的单极字符串是由特殊的（“ Semi-ample”）在三倍的4个循环上包裹的M5-branes产生的。我们确定了此类循环导致必要的BPS弦的各种必要的几何条件，并将其转化为对重力的低能理论的约束。这些和其他几何条件，其中一些可能与单台球世界上的单位性约束有关，是5维$ {\ cal n} = 1 $ SuperGravity Theories的Swampland约束的其他候选者。
We propose Swampland constraints on consistent 5-dimensional ${\cal N}=1$ supergravity theories. We focus on a special class of BPS magnetic monopole strings which arise in gravitational theories. The central charges and the levels of current algebras of 2d CFTs on these strings can be calculated by anomaly inflow mechanism and used to provide constraints on the low-energy particle spectrum and the effective action of the 5d supergravity based on unitarity of the worldsheet CFT. In M-theory, where these theories are realized by compactification on Calabi-Yau 3-folds, the special monopole strings arise from wrapped M5-branes on special ("semi-ample") 4-cycles in the threefold. We identify various necessary geometric conditions for such cycles to lead to requisite BPS strings and translate these into constraints on the low-energy theories of gravity. These and other geometric conditions, some of which can be related to unitarity constraints on the monopole worldsheet, are additional candidates for Swampland constraints on 5-dimensional ${\cal N}=1$ supergravity theories.
