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On twisted reality conditions

Tomasz Brzeziński, Ludwik Dąbrowski, Andrzej Sitarz, Tomasz Brzezinski Orcid Logo

Letters in Mathematical Physics, Volume: 109, Pages: 643 - 659

Swansea University Author: Tomasz Brzezinski Orcid Logo

Abstract

We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant.Motivated by this we present the procedure, which allows one to untwist the twisted spectraltriples studied in Lett. Math. Phy...

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Published in: Letters in Mathematical Physics
ISSN: 0377-9017 1573-0530
Published: Springer 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa41070
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spelling 2019-10-11T15:20:28.6267398 v2 41070 2018-07-19 On twisted reality conditions 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2018-07-19 SMA We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant.Motivated by this we present the procedure, which allows one to untwist the twisted spectraltriples studied in Lett. Math. Phys. 106 (2016), 1499–1530. We also relate this construction toconformally rescaled real twisted spectral triples, and discuss the untwisting of the ‘minimaltwist’ procedure of an even spectral triple. Journal Article Letters in Mathematical Physics 109 643 659 Springer 0377-9017 1573-0530 31 12 2019 2019-12-31 10.1007/s11005-018-1120-x This is a post-peer-review, pre-copyedit version of an article published in Letters in Mathematical Physics. The final authenticated version is available online at: https://doi.org/10.1007/s11005-018-1120-x COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2019-10-11T15:20:28.6267398 2018-07-19T12:46:42.3117857 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzeziński 1 Ludwik Dąbrowski 2 Andrzej Sitarz 3 Tomasz Brzezinski 0000-0001-6270-3439 4 0041070-19072018125236.pdf reality-LMP-rev-1.pdf 2018-07-19T12:52:36.0300000 Output 223213 application/pdf Accepted Manuscript true 2019-08-04T00:00:00.0000000 true eng
title On twisted reality conditions
spellingShingle On twisted reality conditions
Tomasz Brzezinski
title_short On twisted reality conditions
title_full On twisted reality conditions
title_fullStr On twisted reality conditions
title_full_unstemmed On twisted reality conditions
title_sort On twisted reality conditions
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzeziński
Ludwik Dąbrowski
Andrzej Sitarz
Tomasz Brzezinski
format Journal article
container_title Letters in Mathematical Physics
container_volume 109
container_start_page 643
publishDate 2019
institution Swansea University
issn 0377-9017
1573-0530
doi_str_mv 10.1007/s11005-018-1120-x
publisher Springer
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
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description We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant.Motivated by this we present the procedure, which allows one to untwist the twisted spectraltriples studied in Lett. Math. Phys. 106 (2016), 1499–1530. We also relate this construction toconformally rescaled real twisted spectral triples, and discuss the untwisting of the ‘minimaltwist’ procedure of an even spectral triple.
published_date 2019-12-31T03:52:20Z
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score 11.028886