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Super-KMS functionals for graded-local conformal nets

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Super-KMS functionals for graded-local conformal nets. / Hillier, Robin.

In: Annales Henri Poincaré, Vol. 16, No. 8, 08.2015, p. 1899–1936.

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Hillier, Robin. / Super-KMS functionals for graded-local conformal nets. In: Annales Henri Poincaré. 2015 ; Vol. 16, No. 8. pp. 1899–1936.

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@article{51f56762c7bc4890b0c34405de9c203b,
title = "Super-KMS functionals for graded-local conformal nets",
abstract = "Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS functionals for graded translation-covariant nets over R with superderivations, roughly speaking as a certain supersymmetric modification of classical KMS states on translation-covariant nets over R, fundamental objects in chiral algebraic quantum field theory. Although we are able to make a few statements concerning their general structure, most properties will be studied in the setting of specific graded-local (super-) conformal models. In particular, we provide a constructive existence and partial uniqueness proof of super-KMS functionals for the supersymmetric free field, for certain subnets, and for the super-Virasoro net with central charge c ≥ 3/2. Moreover, as a separate result, we classify bounded super-KMS functionals for graded-local conformal nets over S^1 with respect to rotations.",
author = "Robin Hillier",
year = "2015",
month = aug,
doi = "10.1007/s00023-014-0355-z",
language = "English",
volume = "16",
pages = "1899–1936",
journal = "Annales Henri Poincar{\'e}",
issn = "1424-0637",
publisher = "Birkhauser Verlag Basel",
number = "8",

}

RIS

TY - JOUR

T1 - Super-KMS functionals for graded-local conformal nets

AU - Hillier, Robin

PY - 2015/8

Y1 - 2015/8

N2 - Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS functionals for graded translation-covariant nets over R with superderivations, roughly speaking as a certain supersymmetric modification of classical KMS states on translation-covariant nets over R, fundamental objects in chiral algebraic quantum field theory. Although we are able to make a few statements concerning their general structure, most properties will be studied in the setting of specific graded-local (super-) conformal models. In particular, we provide a constructive existence and partial uniqueness proof of super-KMS functionals for the supersymmetric free field, for certain subnets, and for the super-Virasoro net with central charge c ≥ 3/2. Moreover, as a separate result, we classify bounded super-KMS functionals for graded-local conformal nets over S^1 with respect to rotations.

AB - Motivated by a few preceding papers and a question of R. Longo, we introduce super-KMS functionals for graded translation-covariant nets over R with superderivations, roughly speaking as a certain supersymmetric modification of classical KMS states on translation-covariant nets over R, fundamental objects in chiral algebraic quantum field theory. Although we are able to make a few statements concerning their general structure, most properties will be studied in the setting of specific graded-local (super-) conformal models. In particular, we provide a constructive existence and partial uniqueness proof of super-KMS functionals for the supersymmetric free field, for certain subnets, and for the super-Virasoro net with central charge c ≥ 3/2. Moreover, as a separate result, we classify bounded super-KMS functionals for graded-local conformal nets over S^1 with respect to rotations.

U2 - 10.1007/s00023-014-0355-z

DO - 10.1007/s00023-014-0355-z

M3 - Journal article

VL - 16

SP - 1899

EP - 1936

JO - Annales Henri Poincaré

JF - Annales Henri Poincaré

SN - 1424-0637

IS - 8

ER -