关于Chern-Simons不变量的注记
Remarks on Chern-Simons invariants
摘要:
微扰的陈-西蒙斯理论是在有限维版本中研究的,或者假设传播子满足某些性质(例如,由Axelrod和Singer定义的传播子)。事实证明,有效的BV作用量是上同调(具有移位度)的函数,它求解量子主方程,并被定义为模某些可以完全表征的正则变换。其中一个获得不变量。
英文摘要:
The perturbative Chern-Simons theory is studied in a finite-dimensional version or assuming that the propagator satisfies certain properties (as is the case, e.g., with the propagator defined by Axelrod and Singer). It turns out that the effective BV action is a function on cohomology (with shifted degrees) that solves the quantum master equation and is defined modulo certain canonical transformations that can be characterized completely. Out of it one obtains invariants.
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