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Integrable deformation of ℂPn and generalised Kähler geometry

Saskia Demulder, Falk Hassler, Giacomo Piccinini, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2020, Issue: 10

Swansea University Author: Daniel Thompson Orcid Logo

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DOI (Published version): 10.1007/jhep10(2020)086

Abstract

We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for CPn. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduc...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: Springer Science and Business Media LLC 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa55511
first_indexed 2020-10-25T14:33:06Z
last_indexed 2021-08-30T03:17:36Z
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spelling 2021-08-29T14:28:03.5503284 v2 55511 2020-10-25 Integrable deformation of ℂPn and generalised Kähler geometry 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2020-10-25 BGPS We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for CPn. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduced in principle. The second parameter can however be removed via a diffeomorphism, which we construct explicitly, in accordance with the results stemming from a thorough integrability analysis we carry out. We also elucidate how the deformed target space can be seen as an instance of generalised Kaehler, or equivalently bi-Hermitian, geometry. In this respect, we find the generic form of the pure spinors for CPn and the explicit expression for the generalised Kaehler potential for n=1,2 Journal Article Journal of High Energy Physics 2020 10 Springer Science and Business Media LLC 1029-8479 14 10 2020 2020-10-14 10.1007/jhep10(2020)086 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University SCOAP3 2021-08-29T14:28:03.5503284 2020-10-25T14:29:39.9407038 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Saskia Demulder 1 Falk Hassler 2 Giacomo Piccinini 3 Daniel Thompson 0000-0001-8319-8275 4 55511__18843__6006b9fee69148bdbe5c92720cda934e.pdf 55511.pdf 2020-12-08T13:56:32.3766665 Output 551389 application/pdf Version of Record true This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) true eng http://creativecommons.org/licenses/by/4.0/
title Integrable deformation of ℂPn and generalised Kähler geometry
spellingShingle Integrable deformation of ℂPn and generalised Kähler geometry
Daniel Thompson
title_short Integrable deformation of ℂPn and generalised Kähler geometry
title_full Integrable deformation of ℂPn and generalised Kähler geometry
title_fullStr Integrable deformation of ℂPn and generalised Kähler geometry
title_full_unstemmed Integrable deformation of ℂPn and generalised Kähler geometry
title_sort Integrable deformation of ℂPn and generalised Kähler geometry
author_id_str_mv 9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv 9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Daniel Thompson
author2 Saskia Demulder
Falk Hassler
Giacomo Piccinini
Daniel Thompson
format Journal article
container_title Journal of High Energy Physics
container_volume 2020
container_issue 10
publishDate 2020
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/jhep10(2020)086
publisher Springer Science and Business Media LLC
college_str Faculty of Science and Engineering
hierarchytype
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 Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
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description We build on the results of arXiv:1912.11036 for generalised frame fields on generalised quotient spaces and study integrable deformations for CPn. In particular we show how, when the target space of the Principal Chiral Model is a complex projective space, a two-parameter deformation can be introduced in principle. The second parameter can however be removed via a diffeomorphism, which we construct explicitly, in accordance with the results stemming from a thorough integrability analysis we carry out. We also elucidate how the deformed target space can be seen as an instance of generalised Kaehler, or equivalently bi-Hermitian, geometry. In this respect, we find the generic form of the pure spinors for CPn and the explicit expression for the generalised Kaehler potential for n=1,2
published_date 2020-10-14T04:51:22Z
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score 11.444473

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