Exceptional scalar theories in de Sitter space
Abstract The special galileon and Dirac-Born-Infeld (DBI) theories are effective field theories of a single scalar field that have many interesting properties in flat space. These theories can be extended to all maximally symmetric spaces, where their algebras of shift symmetries are simple. We stud...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2022-04-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP04(2022)128 |
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author | James Bonifacio Kurt Hinterbichler Austin Joyce Diederik Roest |
author_facet | James Bonifacio Kurt Hinterbichler Austin Joyce Diederik Roest |
author_sort | James Bonifacio |
collection | DOAJ |
description | Abstract The special galileon and Dirac-Born-Infeld (DBI) theories are effective field theories of a single scalar field that have many interesting properties in flat space. These theories can be extended to all maximally symmetric spaces, where their algebras of shift symmetries are simple. We study aspects of the curved space versions of these theories: for the special galileon, we find a new compact expression for its Lagrangian in de Sitter space and a field redefinition that relates it to the previous, more complicated formulation. This field redefinition reduces to the well-studied galileon duality redefinition in the flat space limit. For the DBI theory in de Sitter space, we discuss the brane and dilaton formulations of the theory and present strong evidence that these are related by a field redefinition. We also give an interpretation of the symmetries of these theories in terms of broken diffeomorphisms of de Sitter space. |
first_indexed | 2024-04-09T23:14:01Z |
format | Article |
id | doaj.art-4a4c08d12dbe4b038eab43fa53f0c64c |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-09T23:14:01Z |
publishDate | 2022-04-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-4a4c08d12dbe4b038eab43fa53f0c64c2023-03-22T10:10:04ZengSpringerOpenJournal of High Energy Physics1029-84792022-04-012022412210.1007/JHEP04(2022)128Exceptional scalar theories in de Sitter spaceJames Bonifacio0Kurt Hinterbichler1Austin Joyce2Diederik Roest3Department of Applied Mathematics and Theoretical Physics, University of CambridgeCERCA, Department of Physics, Case Western Reserve UniversityKavli Institute for Cosmological Physics, Department of Astronomy and Astrophysics, University of ChicagoVan Swinderen Institute for Particle Physics and Gravity, University of GroningenAbstract The special galileon and Dirac-Born-Infeld (DBI) theories are effective field theories of a single scalar field that have many interesting properties in flat space. These theories can be extended to all maximally symmetric spaces, where their algebras of shift symmetries are simple. We study aspects of the curved space versions of these theories: for the special galileon, we find a new compact expression for its Lagrangian in de Sitter space and a field redefinition that relates it to the previous, more complicated formulation. This field redefinition reduces to the well-studied galileon duality redefinition in the flat space limit. For the DBI theory in de Sitter space, we discuss the brane and dilaton formulations of the theory and present strong evidence that these are related by a field redefinition. We also give an interpretation of the symmetries of these theories in terms of broken diffeomorphisms of de Sitter space.https://doi.org/10.1007/JHEP04(2022)128Effective Field TheoriesGlobal SymmetriesSpace-Time Symmetries |
spellingShingle | James Bonifacio Kurt Hinterbichler Austin Joyce Diederik Roest Exceptional scalar theories in de Sitter space Journal of High Energy Physics Effective Field Theories Global Symmetries Space-Time Symmetries |
title | Exceptional scalar theories in de Sitter space |
title_full | Exceptional scalar theories in de Sitter space |
title_fullStr | Exceptional scalar theories in de Sitter space |
title_full_unstemmed | Exceptional scalar theories in de Sitter space |
title_short | Exceptional scalar theories in de Sitter space |
title_sort | exceptional scalar theories in de sitter space |
topic | Effective Field Theories Global Symmetries Space-Time Symmetries |
url | https://doi.org/10.1007/JHEP04(2022)128 |
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