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...

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Main Authors: James Bonifacio, Kurt Hinterbichler, Austin Joyce, Diederik Roest
Format: Article
Language:English
Published: SpringerOpen 2022-04-01
Series:Journal of High Energy Physics
Subjects:
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.
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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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AT austinjoyce exceptionalscalartheoriesindesitterspace
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