Local-entire cyclic cocycles for graded quantum field nets
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.
Cite
@article{arxiv.1306.6317,
title = {Local-entire cyclic cocycles for graded quantum field nets},
author = {Robin Hillier},
journal= {arXiv preprint arXiv:1306.6317},
year = {2014}
}
Comments
21 pages. Built on a section that has been removed from the old preprint 1204.5078v2 when passing to 1204.5078v3. arXiv admin note: substantial text overlap with arXiv:1204.5078v2. v2: Citations and outlook remark added, few typographical and stylistic corrections. v3: minor correction, final published version