No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions

Abstract We study the brane world scenario of a single brane (or a single stack of branes) with codimension higher than one. When the extra dimensions are not small, localization of gravity around the brane is needed in order to reproduce the observable four-dimensional gravity. We focus on the case...

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Main Author: Shing Yan Li
Format: Article
Language:English
Published: SpringerOpen 2021-03-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP03(2021)063
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author Shing Yan Li
author_facet Shing Yan Li
author_sort Shing Yan Li
collection DOAJ
description Abstract We study the brane world scenario of a single brane (or a single stack of branes) with codimension higher than one. When the extra dimensions are not small, localization of gravity around the brane is needed in order to reproduce the observable four-dimensional gravity. We focus on the case of noncompact extra dimensions, where the possibility of localized gravity becomes non-trivial. We show that in large class of gravity models, localization of massless gravity is not possible for codimension-2 branes with at least one noncompact extra dimension. With additional mild assumptions on field backgrounds, we also show that it is not possible for higher codimensional branes with two or more noncompact extra dimensions.
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spelling doaj.art-26b79725af934f9d962c51088d1bae5b2022-12-21T22:53:13ZengSpringerOpenJournal of High Energy Physics1029-84792021-03-012021312110.1007/JHEP03(2021)063No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensionsShing Yan Li0Center for Theoretical Physics, Department of Physics, Massachusetts Institute of TechnologyAbstract We study the brane world scenario of a single brane (or a single stack of branes) with codimension higher than one. When the extra dimensions are not small, localization of gravity around the brane is needed in order to reproduce the observable four-dimensional gravity. We focus on the case of noncompact extra dimensions, where the possibility of localized gravity becomes non-trivial. We show that in large class of gravity models, localization of massless gravity is not possible for codimension-2 branes with at least one noncompact extra dimension. With additional mild assumptions on field backgrounds, we also show that it is not possible for higher codimensional branes with two or more noncompact extra dimensions.https://doi.org/10.1007/JHEP03(2021)063Large Extra Dimensionsp-branesSupergravity Models
spellingShingle Shing Yan Li
No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
Journal of High Energy Physics
Large Extra Dimensions
p-branes
Supergravity Models
title No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
title_full No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
title_fullStr No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
title_full_unstemmed No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
title_short No-go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
title_sort no go theorems on localization of gravity around higher codimensional branes in noncompact extra dimensions
topic Large Extra Dimensions
p-branes
Supergravity Models
url https://doi.org/10.1007/JHEP03(2021)063
work_keys_str_mv AT shingyanli nogotheoremsonlocalizationofgravityaroundhighercodimensionalbranesinnoncompactextradimensions