发表机构
Mathematics Program and Center for Quantum and Topological Systems (CQTS), New York University Abu Dhabi, UAE; The Courant Institute of Mathematical Sciences, New York University, New York, USA（纽约大学阿布扎比分校数学项目与量子与拓扑系统中心; 纽约大学库朗数学科学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明，在假设H和M理论圆拓扑小条件下，IIA荷在非阿贝尔形变的扭曲K理论中被量子化，从而从红外完备的11维超引力推导出扭曲K理论，并对假设H提供了一致性检验。
AI 中文摘要
在受限的非扭曲扇区中，Diaconescu、Moore和Witten（2000年，2003年）在配分函数层面上给出了一个量子M理论一致性检验，针对所谓的“假设K”，即IIA型磁荷和电荷在K理论中被联合量子化。我们证明，最近讨论的“假设H”——即11维中的磁荷和电荷在coHomotopy中被联合量子化——连同M理论圆上的拓扑小条件，系统地意味着IIA荷在由先前被忽略的非线性NS1-膜荷所扭曲的K理论的一个非阿贝尔形变中被量子化。这本质上是从红外完备的11维超引力推导出扭曲K理论，并且反过来，从假设K对假设H提供了进一步的一致性检验。我们动机化并精确陈述了这一结果，讨论了其结构含义，并概述了复杂的代数拓扑证明。
英文摘要
In a restricted untwisted sector, Diaconescu, Moore & Witten (2000, 2003) gave a quantum M-theoretic consistency check, at the level of partition functions, of what one may call "Hypothesis K", namely that magnetic and electric type IIA brane charges are jointly quantized in K-theory. We show that the more recently discussed "Hypothesis H" --- that magnetic and electric charges in 11D are jointly quantized in coHomotopy --- together with a topological smallness condition on the M-theory circle, systematically implies that IIA charges are quantized in a nonabelian deformation of twisted K-theory by the previously neglected non-linear NS1-brane charge. This is essentially a derivation of twisted K-theory from IR-completed 11D SuGra, and conversely a further consistency check on Hypothesis H from Hypothesis K. We motivate and precisely state this result, discuss its structural implications, and outline the elaborate algebro-topological proof.
Comments47 pages + references, 5 figures, 5 tables
