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Exceptional scalar theories in de Sitter space

Journal Article · · Journal of High Energy Physics (Online)
 [1];  [2];  [3];  [4]
  1. University of Cambridge (United Kingdom); Case Western Reserve Univ., Cleveland, OH (United States)
  2. Case Western Reserve University, Cleveland, OH (United States)
  3. University of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
  4. University of Groningen (Netherlands)

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.

Research Organization:
Case Western Reserve University, Cleveland, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC); Netherlands Organisation for Scientific Research (NWO); Science and Technology Facilities Council (STFC); Simons Foundation
Grant/Contract Number:
SC0009946
OSTI ID:
1976471
Journal Information:
Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 4 Vol. 2022; ISSN 1029-8479
Publisher:
Springer NatureCopyright Statement
Country of Publication:
United States
Language:
English

References (64)

The special Galileon as Goldstone of diffeomorphisms journal January 2021
Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions journal January 2022
Inequivalence of coset constructions for spacetime symmetries journal February 2015
Unifying relations for scattering amplitudes journal February 2018
Double copy structure of CFT correlators journal February 2019
Shift symmetries in (anti) de Sitter space journal February 2019
Bootstrapping inflationary correlators in Mellin space journal February 2020
Color/kinematics duality in AdS4 journal February 2021
Ambitwistor strings and the scattering equations on AdS3×S3 journal February 2022
On duality of color and kinematics in (A)dS momentum space journal March 2021
Analyticity and unitarity for cosmological correlators journal March 2022
Pions as gluons in higher dimensions journal April 2018
The cosmological bootstrap: inflationary correlators from symmetries and singularities journal April 2020
Mixed-symmetry fields in de Sitter space: a group theoretical glance journal May 2017
Lie-algebraic classification of effective theories with enhanced soft limits journal May 2018
Cosmological Cutting Rules journal May 2021
Gluon scattering in AdS from CFT journal June 2021
Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal July 2015
Matter couplings and equivalence principles for soft scalars journal July 2020
Multi-spin soft bootstrap and scalar-vector Galileon journal July 2021
An algebraic classification of exceptional EFTs journal August 2019
Double-soft behavior of the dilaton of spontaneously broken conformal invariance journal September 2017
On the (A)dS decoupling limits of massive gravity journal September 2018
Shift-symmetric spin-1 theories journal September 2019
Non-linear representations of the conformal group and mapping of galileons journal October 2013
Unification of Galileon dualities journal October 2014
From amplitudes to contact cosmological correlators journal October 2021
From locality and unitarity to cosmological correlators journal October 2021
Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions journal November 2010
CFT unitarity and the AdS Cutkosky rules journal November 2020
Scattering equations in AdS: scalar correlators in arbitrary dimensions journal November 2020
Soft theorems from anomalous symmetries journal December 2015
The cosmological bootstrap: weight-shifting operators and scalar seeds journal December 2020
From dS to AdS and back journal December 2021
Galileon duality journal June 2014
AdSd+1→AdSd journal October 2005
Causality, analyticity and an IR obstruction to UV completion journal October 2006
Constructing the tree-level Yang-Mills S-matrix using complex factorization journal June 2009
DBI and the Galileon reunited journal May 2010
De Sitter Galileon journal May 2011
Symmetries for Galileons and DBI scalars on curved space journal July 2011
Non-linear realizations of conformal symmetry and effective field theory for the pseudo-conformal universe journal June 2012
Cosmological stability bound in massive gravity and bigravity journal December 2013
Symmetric scalars journal May 2020
Building a boostless bootstrap for the bispectrum journal January 2021
The Cosmological Optical Theorem journal April 2021
The inflationary wavefunction from analyticity and factorization journal December 2021
Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current journal February 1965
Infrared Photons and Gravitons journal October 1965
Structure of Phenomenological Lagrangians. I journal January 1969
Structure of Phenomenological Lagrangians. II journal January 1969
Broken Scale Invariance in Scalar Field Theory journal October 1970
AdS/CFT equivalence transformation journal October 2002
Microcausality in curved space-time journal April 2008
Galileon as a local modification of gravity journal March 2009
Higher-spin massless S matrices in four dimensions journal October 2014
Hidden symmetry of the Galileon journal July 2015
Galileons as the scalar analogue of general relativity journal February 2016
New soft theorems for the gravity dilaton and the Nambu-Goldstone dilaton at subsubleading order journal April 2016
New Class of Effective Field Theories from Embedded Branes journal June 2011
Effective Field Theories from Soft Limits of Scattering Amplitudes journal June 2015
Double Copy Relation in AdS Space journal September 2021
Cosmological Scattering Equations journal December 2021
The Cosmological Bootstrap: Spinning correlators from symmetries and factorization journal January 2021

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