Local-entire cyclic cocycles for graded quantum field nets

Hillier, Robin (2014) Local-entire cyclic cocycles for graded quantum field nets. Letters in Mathematical Physics, 104 (3). pp. 271-298. ISSN 0377-9017

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Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Letters in Mathematical Physics
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
68700
Deposited By:
Deposited On:
24 Feb 2014 09:30
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 08:50