论文标题
COBORDISM猜想，异常和弦灯柱原理
Cobordism Conjecture, Anomalies, and the String Lamppost Principle
论文作者
论文摘要
我们考虑了$ d> 6 $中的coordism班级琐事和取消异常的影响的后果。我们认为，这导致了我们称之为“ ifolds”（Erientifolds的概括）的某些缺陷的存在。压缩涉及这些缺陷的较低维度的要求是无异常的，这会导致更高维理论的条件。我们表明，在$ d> 6 $中具有16个增压的理论中，这会导致对允许量规组等级的限制，从而为已知的字符串理论结构中观察到的限制提供了解释。特别是，在八个维度中，我们约束的唯一解决方案正是在弦理论压缩中实现的解决方案。我们还使用这些技术在八个和九个方面对量规组的全局结构进行限制。
We consider consequences of triviality of cobordism classes and anomaly cancellation in supergravity theories in $d>6$. We argue that this leads to the existence of certain defects which we call "I-folds" (a generalization of orientifolds). The requirement that compactifications to lower dimensions involving these defects be anomaly free leads to conditions on the higher dimensional theory. We show that in theories with 16 supercharges in $d>6$ this leads to restrictions on the rank of the allowed gauge groups and thus provides an explanation for the observed restrictions in known string theory constructions. In particular, in eight and nine dimensions the only solutions to our constraints are precisely the ones realized in string theory compactifications. We also use these techniques to place constraints on the global structure of the gauge group in eight and nine dimensions.
