Holographic vacuum misalignment

Elander, Daniel; FATEMIABHARI, ALI; Piai, Maurizio

doi:10.1103/physrevd.111.015040

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Holographic vacuum misalignment

Daniel Elander

, ALI FATEMIABHARI, Maurizio Piai

Physical Review D, Volume: 111, Issue: 1, Start page: 015040

Swansea University Authors: ALI FATEMIABHARI, Maurizio Piai

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DOI (Published version): 10.1103/physrevd.111.015040

Abstract

We develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular an...

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Published in:	Physical Review D
ISSN:	2470-0010 2470-0029
Published:	American Physical Society (APS) 2025
Online Access:	Check full text
URI:	https://cronfa.swan.ac.uk/Record/cronfa68337

first_indexed	2024-11-25T19:48:13Z
last_indexed	2025-02-14T05:45:12Z
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The gravity background is completely regular and smooth, and has an end of space that mimics confinement on the field theory side. We add to the gravity description a set of localised boundary terms, that introduce additional symmetry-breaking effects, capturing those that would result from coupling the dual strongly coupled field theory to an external, weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the global SO(5) symmetry of the dual field theory, as well as additional explicit symmetry-breaking effects. We show how to combine spurions and gauge fixing and how to take the appropriate limits, so as to respect gauge principles and avoid violations of unitarity.The interplay of bulk and boundary-localised couplings leads to the breaking of the SO(5) sym- metry to either its SO(4) or SO(3) subgroup, via vacuum misalignment. In field theory terms, the model describes the spontaneous breaking of a SO(4) gauge symmetry to its SO(3) subgroup. 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spelling	2025-02-13T15:02:58.9806814 v2 68337 2024-11-25 Holographic vacuum misalignment cf0474757b894f2c6714f77d336eb607 ALI FATEMIABHARI ALI FATEMIABHARI true false 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 2024-11-25 We develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular and smooth, and has an end of space that mimics confinement on the field theory side. We add to the gravity description a set of localised boundary terms, that introduce additional symmetry-breaking effects, capturing those that would result from coupling the dual strongly coupled field theory to an external, weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the global SO(5) symmetry of the dual field theory, as well as additional explicit symmetry-breaking effects. We show how to combine spurions and gauge fixing and how to take the appropriate limits, so as to respect gauge principles and avoid violations of unitarity.The interplay of bulk and boundary-localised couplings leads to the breaking of the SO(5) sym- metry to either its SO(4) or SO(3) subgroup, via vacuum misalignment. In field theory terms, the model describes the spontaneous breaking of a SO(4) gauge symmetry to its SO(3) subgroup. We expose the implications of the higgsing phenomenon by computing the spectrum of fluctuations of the model, which we interpret in four-dimensional field-theory terms, for a few interesting choices of parameters. We conclude by commenting on the additional steps needed to build a realistic composite Higgs model. Journal Article Physical Review D 111 1 015040 American Physical Society (APS) 2470-0010 2470-0029 30 1 2025 2025-01-30 10.1103/physrevd.111.015040 COLLEGE NANME COLLEGE CODE Swansea University SU Library paid the OA fee (TA Institutional Deal) The work of A. F. has been supported by the STFC Consolidated Grant No. ST/V507143/1 and by the EPSRC Standard Research Studentship (DTP) EP/T517987/1. The work of M. P. has been supported in part by the STFC Consolidated Grants No. ST/T000813/1 and No. ST/X000648/1. M. P. received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program under Grant Agreement No. 813942. Funded by SCOAP3. 2025-02-13T15:02:58.9806814 2024-11-25T12:45:24.1709927 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Daniel Elander 0000-0001-6348-8021 1 ALI FATEMIABHARI 2 Maurizio Piai 0000-0002-2251-0111 3 68337__33582__54664c8273774993bd0aec05b867aa82.pdf 68337.VOR.pdf 2025-02-13T14:55:58.3502813 Output 964524 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/ 292 Ali Fatemiabhari 0000-0003-1369-6505 a.fatemiabhari.2127756@swansea.ac.uk true doi:10.5281/zenodo.11774202 false
title	Holographic vacuum misalignment
spellingShingle	Holographic vacuum misalignment ALI FATEMIABHARI Maurizio Piai
title_short	Holographic vacuum misalignment
title_full	Holographic vacuum misalignment
title_fullStr	Holographic vacuum misalignment
title_full_unstemmed	Holographic vacuum misalignment
title_sort	Holographic vacuum misalignment
author_id_str_mv	cf0474757b894f2c6714f77d336eb607 3ce295f2c7cc318bac7da18f9989d8c3
author_id_fullname_str_mv	cf0474757b894f2c6714f77d336eb607_*_ALI FATEMIABHARI 3ce295f2c7cc318bac7da18f9989d8c3_*_Maurizio Piai
author	ALI FATEMIABHARI Maurizio Piai
author2	Daniel Elander ALI FATEMIABHARI Maurizio Piai
format	Journal article
container_title	Physical Review D
container_volume	111
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container_start_page	015040
publishDate	2025
institution	Swansea University
issn	2470-0010 2470-0029
doi_str_mv	10.1103/physrevd.111.015040
publisher	American Physical Society (APS)
college_str	Faculty of Science and Engineering
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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 develop a bottom-up holographic model that provides the dual description of a strongly coupled field theory, in which the spontaneous breaking of an approximate global symmetry yields the SO(5)/SO(4) coset relevant to minimal composite-Higgs models. The gravity background is completely regular and smooth, and has an end of space that mimics confinement on the field theory side. We add to the gravity description a set of localised boundary terms, that introduce additional symmetry-breaking effects, capturing those that would result from coupling the dual strongly coupled field theory to an external, weakly coupled sector. Such terms encapsulate the gauging of a subgroup of the global SO(5) symmetry of the dual field theory, as well as additional explicit symmetry-breaking effects. We show how to combine spurions and gauge fixing and how to take the appropriate limits, so as to respect gauge principles and avoid violations of unitarity.The interplay of bulk and boundary-localised couplings leads to the breaking of the SO(5) sym- metry to either its SO(4) or SO(3) subgroup, via vacuum misalignment. In field theory terms, the model describes the spontaneous breaking of a SO(4) gauge symmetry to its SO(3) subgroup. We expose the implications of the higgsing phenomenon by computing the spectrum of fluctuations of the model, which we interpret in four-dimensional field-theory terms, for a few interesting choices of parameters. We conclude by commenting on the additional steps needed to build a realistic composite Higgs model.
published_date	2025-01-30T08:17:40Z
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score	11.05492

Holographic vacuum misalignment

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