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On Holographic Vacuum Misalignment

Maurizio Piai Orcid Logo, Ali Fatemiabhari, Daniel Elander Orcid Logo

Phys Rev D

Swansea University Authors: Maurizio Piai Orcid Logo, Ali Fatemiabhari

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: Phys Rev D
Published: APS
URI: https://cronfa.swan.ac.uk/Record/cronfa68337
first_indexed 2024-11-25T19:48:13Z
last_indexed 2025-01-14T14:38:24Z
id cronfa68337
recordtype SURis
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spelling 2025-01-14T10:06:06.2164685 v2 68337 2024-11-25 On Holographic Vacuum Misalignment 3ce295f2c7cc318bac7da18f9989d8c3 0000-0002-2251-0111 Maurizio Piai Maurizio Piai true false 1fff8a27c5649675cda6e190dc0c74c3 Ali Fatemiabhari Ali Fatemiabhari true false 2024-11-25 BGPS 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 Phys Rev D APS 0 0 0 0001-01-01 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required 2025-01-14T10:06:06.2164685 2024-11-25T12:45:24.1709927 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Maurizio Piai 0000-0002-2251-0111 1 Ali Fatemiabhari 2 Daniel Elander 0000-0001-6348-8021 3 292 Ali Fatemiabhari 0000-0003-1369-6505 a.fatemiabhari.2127756@swansea.ac.uk true doi:10.5281/zenodo.11774202 false
title On Holographic Vacuum Misalignment
spellingShingle On Holographic Vacuum Misalignment
Maurizio Piai
Ali Fatemiabhari
title_short On Holographic Vacuum Misalignment
title_full On Holographic Vacuum Misalignment
title_fullStr On Holographic Vacuum Misalignment
title_full_unstemmed On Holographic Vacuum Misalignment
title_sort On Holographic Vacuum Misalignment
author_id_str_mv 3ce295f2c7cc318bac7da18f9989d8c3
1fff8a27c5649675cda6e190dc0c74c3
author_id_fullname_str_mv 3ce295f2c7cc318bac7da18f9989d8c3_***_Maurizio Piai
1fff8a27c5649675cda6e190dc0c74c3_***_Ali Fatemiabhari
author Maurizio Piai
Ali Fatemiabhari
author2 Maurizio Piai
Ali Fatemiabhari
Daniel Elander
format Journal article
container_title Phys Rev D
institution Swansea University
publisher APS
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 0
active_str 0
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 0001-01-01T06:00:18Z
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score 11.352235

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