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Local-entire cyclic cocycles for graded quantum field nets

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Local-entire cyclic cocycles for graded quantum field nets. / Hillier, Robin.
In: Letters in Mathematical Physics, Vol. 104, No. 3, 03.2014, p. 271-298.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Hillier, R 2014, 'Local-entire cyclic cocycles for graded quantum field nets', Letters in Mathematical Physics, vol. 104, no. 3, pp. 271-298. https://doi.org/10.1007/s11005-013-0662-1

APA

Hillier, R. (2014). Local-entire cyclic cocycles for graded quantum field nets. Letters in Mathematical Physics, 104(3), 271-298. https://doi.org/10.1007/s11005-013-0662-1

Vancouver

Hillier R. Local-entire cyclic cocycles for graded quantum field nets. Letters in Mathematical Physics. 2014 Mar;104(3):271-298. Epub 2013 Nov 6. doi: 10.1007/s11005-013-0662-1

Author

Hillier, Robin. / Local-entire cyclic cocycles for graded quantum field nets. In: Letters in Mathematical Physics. 2014 ; Vol. 104, No. 3. pp. 271-298.

Bibtex

@article{4dc1628c5f9040e282f46cbfa0e80063,
title = "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. ",
keywords = "algebraic conformal quantum field theory , entire cyclic cohomology, JLO cocycle , KMS condition , supersymmetry",
author = "Robin Hillier",
year = "2014",
month = mar,
doi = "10.1007/s11005-013-0662-1",
language = "English",
volume = "104",
pages = "271--298",
journal = "Letters in Mathematical Physics",
issn = "0377-9017",
publisher = "Springer Netherlands",
number = "3",

}

RIS

TY - JOUR

T1 - Local-entire cyclic cocycles for graded quantum field nets

AU - Hillier, Robin

PY - 2014/3

Y1 - 2014/3

N2 - 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.

AB - 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.

KW - algebraic conformal quantum field theory

KW - entire cyclic cohomology

KW - JLO cocycle

KW - KMS condition

KW - supersymmetry

U2 - 10.1007/s11005-013-0662-1

DO - 10.1007/s11005-013-0662-1

M3 - Journal article

VL - 104

SP - 271

EP - 298

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -