Non-trivial thick brane realisations with 3-forms

Abstract We explore the construction of four-dimensional thick branes supported by massless 3-forms in a five-dimensional bulk space. The required residual Poincaré symmetry on the brane is realised as a combination of the bulk symmetries and the internal gauge symmetry of the 3-form. We show the pr...

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Main Authors: Bruno J. Barros, Jose Beltrán Jiménez
Format: Article
Language:English
Published: SpringerOpen 2024-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2024)002
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author Bruno J. Barros
Jose Beltrán Jiménez
author_facet Bruno J. Barros
Jose Beltrán Jiménez
author_sort Bruno J. Barros
collection DOAJ
description Abstract We explore the construction of four-dimensional thick branes supported by massless 3-forms in a five-dimensional bulk space. The required residual Poincaré symmetry on the brane is realised as a combination of the bulk symmetries and the internal gauge symmetry of the 3-form. We show the presence of a gradient instability for the perturbations orthogonal to the brane when its profile decays slowly in the asymptotic regions. In particular, we ascertain that the prevailing profiles found in the literature are susceptible to such instabilities. We confirm our results by transitioning to the dual formulation in terms of a shift-symmetric scalar. In this formulation, the residual Poincaré group is trivially realised without internal symmetries, and there is a diagonal translational invariance in the fifth dimension reminiscent of the invariance under translations orthogonal to the brane of the dual 3-form. We demonstrate the extension of our results to the cases of de Sitter and Anti de Sitter branes where the gradient instabilities of asymptotically slowly decaying branes persist. Finally, we briefly comment on the construction of thick branes with massive 3-forms and their 1-form duals.
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spelling doaj.art-f83fa8bdc47b41df893594abe47079f62024-06-23T11:09:20ZengSpringerOpenJournal of High Energy Physics1029-84792024-02-012024212510.1007/JHEP02(2024)002Non-trivial thick brane realisations with 3-formsBruno J. Barros0Jose Beltrán Jiménez1Instituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaDepartamento de Física Fundamental and IUFFyM, Universidad de SalamancaAbstract We explore the construction of four-dimensional thick branes supported by massless 3-forms in a five-dimensional bulk space. The required residual Poincaré symmetry on the brane is realised as a combination of the bulk symmetries and the internal gauge symmetry of the 3-form. We show the presence of a gradient instability for the perturbations orthogonal to the brane when its profile decays slowly in the asymptotic regions. In particular, we ascertain that the prevailing profiles found in the literature are susceptible to such instabilities. We confirm our results by transitioning to the dual formulation in terms of a shift-symmetric scalar. In this formulation, the residual Poincaré group is trivially realised without internal symmetries, and there is a diagonal translational invariance in the fifth dimension reminiscent of the invariance under translations orthogonal to the brane of the dual 3-form. We demonstrate the extension of our results to the cases of de Sitter and Anti de Sitter branes where the gradient instabilities of asymptotically slowly decaying branes persist. Finally, we briefly comment on the construction of thick branes with massive 3-forms and their 1-form duals.https://doi.org/10.1007/JHEP02(2024)002Classical Theories of GravityExtra DimensionsLarge Extra Dimensions
spellingShingle Bruno J. Barros
Jose Beltrán Jiménez
Non-trivial thick brane realisations with 3-forms
Journal of High Energy Physics
Classical Theories of Gravity
Extra Dimensions
Large Extra Dimensions
title Non-trivial thick brane realisations with 3-forms
title_full Non-trivial thick brane realisations with 3-forms
title_fullStr Non-trivial thick brane realisations with 3-forms
title_full_unstemmed Non-trivial thick brane realisations with 3-forms
title_short Non-trivial thick brane realisations with 3-forms
title_sort non trivial thick brane realisations with 3 forms
topic Classical Theories of Gravity
Extra Dimensions
Large Extra Dimensions
url https://doi.org/10.1007/JHEP02(2024)002
work_keys_str_mv AT brunojbarros nontrivialthickbranerealisationswith3forms
AT josebeltranjimenez nontrivialthickbranerealisationswith3forms