分次量子场网的局部-整循环上圈
Local-entire cyclic cocycles for graded quantum field nets
摘要：
在最近的一篇论文中，我们研究了R上的分次协变量子场网中的分次量子动力系统上的超KMS泛函的一般性质，并在某些超共形网模型上对这些对象进行了详细的分析.在本文中，我们表明，这些局部有界泛函产生局部整循环上循环（广义JLO上循环），这是同伦不变的一类合适的扰动。因此，我们可以将有意义的非对易几何不变量与这些分次量子动力系统联系起来。
英文摘要：
In a recent paper we studied general properties of super-KMS functionals on graded quantum dynamical systems coming from graded translation-covariant quantum field nets over R, and we carried out a detailed analysis of these objects on certain models of superconformal nets. In the present article we show that these locally bounded functionals give rise to local-entire cyclic cocycles (generalized JLO cocycles), which are homotopy-invariant for a suitable class of perturbations. Thus we can associate meaningful noncommutative geometric invariants to those graded quantum dynamical systems.
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