论文标题
平滑的fock束和旋转空间上的纺纱束
Smooth Fock bundles, and spinor bundles on loop space
论文作者
论文摘要
我们解决了费米式植物空间的光滑束的构造，这是费米斯仪理论中经常出现的问题。我们的主要动机是在弦歧管的自由环空间上的旋转束，这是杀伤力预期的结构，由Stolz-Teichner概述了构造。我们开发了一个通用框架，用于构建光滑的fock束，并作为应用程序在环路空间上的完整且有根据的纺纱束结构。
We address the construction of smooth bundles of fermionic Fock spaces, a problem that appears frequently in fermionic gauge theories. Our main motivation is the spinor bundle on the free loop space of a string manifold, a structure anticipated by Killingback, with a construction outlined by Stolz-Teichner. We develop a general framework for constructing smooth Fock bundles, and obtain as an application a complete and well-founded construction of spinor bundles on loop space.
