论文标题
在COBORDISM中寻找结构
Looking for structure in the cobordism conjecture
论文作者
论文摘要
Swampland计划的COBORDISM猜想指出，量子重力的Bordism群必须微不足道。我们在数学和物理方面都以多个方向进行调查。我们将Whitehead Tower的结构视为进入猜想制定的拓扑结构的可能组织原理。我们讨论了为什么以及如何在Bordism组中包含几何结构，例如较高的U（1）与连接的捆绑结构。还详细解决了磁缺陷的包含。我们进一步详细阐述了猜想如何预测kaluza-klein单孔，并研究了Coobordism猜想的重力去耦极限，并在NSNS弦乐背景上进行了一些观察。我们以与T偶尔性以及有限猜想有关的评论结尾。
The cobordism conjecture of the swampland program states that the bordism group of quantum gravity must be trivial. We investigate this statement in several directions, on both the mathematical and physical side. We consider the Whitehead tower construction as a possible organising principle for the topological structures entering the formulation of the conjecture. We discuss why and how to include geometric structures in bordism groups, such as higher U(1)-bundles with connection. The inclusion of magnetic defects is also addressed in some detail. We further elaborate on how the conjecture could predict Kaluza--Klein monopoles, and we study the gravity decoupling limit in the cobordism conjecture, with a few observations on NSNS string backgrounds. We end with comments in relation to T-duality, as well as the finiteness conjecture.
