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D-branes in λ-deformations

Sibylle Driezen, Alexander Sevrin, Daniel Thompson Orcid Logo

Journal of High Energy Physics, Volume: 2018, Issue: 9

Swansea University Author: Daniel Thompson Orcid Logo

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DOI (Published version): 10.1007/JHEP09(2018)015

Abstract

We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce c...

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Published in: Journal of High Energy Physics
ISSN: 1029-8479
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa44772
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first_indexed 2018-10-04T19:03:14Z
last_indexed 2020-07-01T18:59:58Z
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spelling 2020-07-01T16:38:47.3041501 v2 44772 2018-10-04 D-branes in λ-deformations 9c8715ee44a574eda1194c9808d99c62 0000-0001-8319-8275 Daniel Thompson Daniel Thompson true false 2018-10-04 SPH We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce conserved charges in the presence of boundaries. In this way the D-brane configurations obtained correspond to ``integrable'' boundary configurations. We illustrate this with examples based on $SU(2)$ and $SL(2,\mathbb{R})$, and comment on the relation of these D-branes to both non-Abelian T-duality and Poisson-Lie T-duality. We show that the D2 supported by D0 charge in the $\lambda$--deformed theory map, under analytic continuation together with Poisson-Lie T-duality, to D3 branes in the $\eta$-deformation of the principal chiral model. Journal Article Journal of High Energy Physics 2018 9 1029-8479 D-branes, integrable field theory, string duality 4 9 2018 2018-09-04 10.1007/JHEP09(2018)015 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-07-01T16:38:47.3041501 2018-10-04T13:30:41.9008295 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Sibylle Driezen 1 Alexander Sevrin 2 Daniel Thompson 0000-0001-8319-8275 3 0044772-26102018112951.pdf 44772.pdf 2018-10-26T11:29:51.2430000 Output 847381 application/pdf Version of Record true 2018-10-23T00:00:00.0000000 Released under the terms of a Creative Commons Attribution License (CC-BY). true eng
title D-branes in λ-deformations
spellingShingle D-branes in λ-deformations
Daniel Thompson
title_short D-branes in λ-deformations
title_full D-branes in λ-deformations
title_fullStr D-branes in λ-deformations
title_full_unstemmed D-branes in λ-deformations
title_sort D-branes in λ-deformations
author_id_str_mv 9c8715ee44a574eda1194c9808d99c62
author_id_fullname_str_mv 9c8715ee44a574eda1194c9808d99c62_***_Daniel Thompson
author Daniel Thompson
author2 Sibylle Driezen
Alexander Sevrin
Daniel Thompson
format Journal article
container_title Journal of High Energy Physics
container_volume 2018
container_issue 9
publishDate 2018
institution Swansea University
issn 1029-8479
doi_str_mv 10.1007/JHEP09(2018)015
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
document_store_str 1
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description We show that the geometric interpretation of D-branes in WZW models as twisted conjugacy classes persists in the $\lambda$--deformed theory. We obtain such configurations by demanding that a monodromy matrix constructed from the Lax connection of the $\lambda$--deformed theory continues to produce conserved charges in the presence of boundaries. In this way the D-brane configurations obtained correspond to ``integrable'' boundary configurations. We illustrate this with examples based on $SU(2)$ and $SL(2,\mathbb{R})$, and comment on the relation of these D-branes to both non-Abelian T-duality and Poisson-Lie T-duality. We show that the D2 supported by D0 charge in the $\lambda$--deformed theory map, under analytic continuation together with Poisson-Lie T-duality, to D3 branes in the $\eta$-deformation of the principal chiral model.
published_date 2018-09-04T03:56:10Z
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score 11.013148

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