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Title: Shift-symmetric spin-1 theories

Abstract

We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrize by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.

Authors:
 [1];  [1];  [1];  [2]
  1. Case Western Reserve Univ., Cleveland, OH (United States)
  2. Columbia Univ., New York, NY (United States)
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Aeronautics and Space Administration (NASA)
OSTI Identifier:
1613133
Grant/Contract Number:  
SC0019143; NNX16AB27G
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2019; Journal Issue: 9; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Physics; Effective Field Theories; Global Symmetries; Spontaneous Symmetry Breaking; Classical Theories of Gravity

Citation Formats

Bonifacio, James, Hinterbichler, Kurt, Johnson, Laura A., and Joyce, Austin. Shift-symmetric spin-1 theories. United States: N. p., 2019. Web. https://doi.org/10.1007/jhep09(2019)029.
Bonifacio, James, Hinterbichler, Kurt, Johnson, Laura A., & Joyce, Austin. Shift-symmetric spin-1 theories. United States. https://doi.org/10.1007/jhep09(2019)029
Bonifacio, James, Hinterbichler, Kurt, Johnson, Laura A., and Joyce, Austin. Wed . "Shift-symmetric spin-1 theories". United States. https://doi.org/10.1007/jhep09(2019)029. https://www.osti.gov/servlets/purl/1613133.
@article{osti_1613133,
title = {Shift-symmetric spin-1 theories},
author = {Bonifacio, James and Hinterbichler, Kurt and Johnson, Laura A. and Joyce, Austin},
abstractNote = {We study interacting massive spin-1 theories in de Sitter (dS) and anti-de Sitter (AdS) space that possess shift symmetries parametrized by (A)dS Killing vectors. We show how they emerge from the massless limit of massive spin-2 theories on (A)dS space. In the case of massive gravity, the corresponding spin-1 theory realizes a symmetry breaking pattern that takes two copies of the (A)dS isometry group down to a diagonal subgroup. By taking the flat space limit of this theory, we find a new symmetry of the decoupling limit of massive gravity in flat space. This symmetry acts on the vector modes, is parametrize by an antisymmetric tensor, and fixes the nonlinear structure of the scalar-vector sector of the decoupling limit.},
doi = {10.1007/jhep09(2019)029},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2019,
place = {United States},
year = {2019},
month = {9}
}

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Works referenced in this record:

Vector Effective Field Theories from Soft Limits
journal, June 2018


Generalized Proca action for an Abelian vector field
journal, February 2016

  • Allys, Erwan; Peter, Patrick; Rodríguez, Yeinzon
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 02
  • DOI: 10.1088/1475-7516/2016/02/004

Generalization of the Proca Action
journal, May 2014


Superluminal vector in ghost-free massive gravity
journal, September 2014


Gauge theories as theories of spontaneous breakdown
journal, December 1976

  • Ivanov, E. A.; Ogievetsky, V. I.
  • Letters in Mathematical Physics, Vol. 1, Issue 4
  • DOI: 10.1007/BF00398486

Complete decoupling limit of ghost-free massive gravity
journal, November 2013

  • Ondo, Nicholas A.; Tolley, Andrew J.
  • Journal of High Energy Physics, Vol. 2013, Issue 11
  • DOI: 10.1007/JHEP11(2013)059

DBI and the Galileon reunited
journal, May 2010


On the (A)dS decoupling limits of massive gravity
journal, September 2018

  • de Rham, Claudia; Hinterbichler, Kurt; Johnson, Laura A.
  • Journal of High Energy Physics, Vol. 2018, Issue 9
  • DOI: 10.1007/JHEP09(2018)154

The self-accelerating universe with vectors in massive gravity
journal, December 2011

  • Koyama, Kazuya; Niz, Gustavo; Tasinato, Gianmassimo
  • Journal of High Energy Physics, Vol. 2011, Issue 12
  • DOI: 10.1007/JHEP12(2011)065

Scalar Field Theories with Polynomial Shift Symmetries
journal, September 2015

  • Griffin, Tom; Grosvenor, Kevin T.; Hořava, Petr
  • Communications in Mathematical Physics, Vol. 340, Issue 3
  • DOI: 10.1007/s00220-015-2461-2

Massive gravity on de Sitter and unique candidate for partially massless gravity
journal, January 2013

  • Rham, Claudia de; Renaux-Petel, Sébastien
  • Journal of Cosmology and Astroparticle Physics, Vol. 2013, Issue 01
  • DOI: 10.1088/1475-7516/2013/01/035

Strong interactions and stability in the DGP model
journal, September 2003


Selftuned massive spin-2
journal, October 2010


Aspects of Galileon non-renormalization
journal, November 2016

  • Goon, Garrett; Hinterbichler, Kurt; Joyce, Austin
  • Journal of High Energy Physics, Vol. 2016, Issue 11
  • DOI: 10.1007/JHEP11(2016)100

Spontaneously broken spacetime symmetries and the role of inessential Goldstones
journal, October 2017

  • Klein, Remko; Roest, Diederik; Stefanyszyn, David
  • Journal of High Energy Physics, Vol. 2017, Issue 10
  • DOI: 10.1007/JHEP10(2017)051

Massive Gravity
journal, August 2014


de Sitter breaking through infrared divergences
journal, July 2010

  • Miao, S. P.; Tsamis, N. C.; Woodard, R. P.
  • Journal of Mathematical Physics, Vol. 51, Issue 7
  • DOI: 10.1063/1.3448926

Generalizing Galileons
journal, October 2011


Ghost-free massive gravity with a general reference metric
journal, February 2012

  • Hassan, S. F.; Rosen, Rachel A.; Schmidt-May, Angnis
  • Journal of High Energy Physics, Vol. 2012, Issue 2
  • DOI: 10.1007/JHEP02(2012)026

Goldstones with extended shift symmetries
journal, November 2014

  • Hinterbichler, Kurt; Joyce, Austin
  • International Journal of Modern Physics D, Vol. 23, Issue 13
  • DOI: 10.1142/S0218271814430019

Wave Equations in Conformal Space
journal, April 1936

  • Dirac, P. A. M.
  • The Annals of Mathematics, Vol. 37, Issue 2
  • DOI: 10.2307/1968455

Theoretical aspects of massive gravity
journal, May 2012


A small cosmological constant from Abelian symmetry breaking
journal, October 2014


De Sitter Galileon
journal, May 2011

  • Burrage, Clare; Rham, Claudia de; Heisenberg, Lavinia
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 05
  • DOI: 10.1088/1475-7516/2011/05/025

Einstein gravity, massive gravity, multi-gravity and nonlinear realizations
journal, July 2015

  • Goon, Garrett; Hinterbichler, Kurt; Joyce, Austin
  • Journal of High Energy Physics, Vol. 2015, Issue 7
  • DOI: 10.1007/JHEP07(2015)101

Effective field theory for massive gravitons and gravity in theory space
journal, June 2003


A Higgs mechanism for vector Galileons
journal, March 2015

  • Hull, Matthew; Koyama, Kazuya; Tasinato, Gianmassimo
  • Journal of High Energy Physics, Vol. 2015, Issue 3
  • DOI: 10.1007/JHEP03(2015)154

Partially-massless higher-spin algebras and their finite-dimensional truncations
journal, January 2016

  • Joung, Euihun; Mkrtchyan, Karapet
  • Journal of High Energy Physics, Vol. 2016, Issue 1
  • DOI: 10.1007/JHEP01(2016)003

Classical and Quantum Consistency of the DGP Model
journal, June 2004


Effective Field Theories from Soft Limits of Scattering Amplitudes
journal, June 2015


Lie-algebraic classification of effective theories with enhanced soft limits
journal, May 2018

  • Bogers, Mark P.; Brauner, Tomáš
  • Journal of High Energy Physics, Vol. 2018, Issue 5
  • DOI: 10.1007/JHEP05(2018)076

Soft bootstrap and supersymmetry
journal, January 2019

  • Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R. T.
  • Journal of High Energy Physics, Vol. 2019, Issue 1
  • DOI: 10.1007/JHEP01(2019)195

Symmetries for Galileons and DBI scalars on curved space
journal, July 2011

  • Goon, Garrett; Hinterbichler, Kurt; Trodden, Mark
  • Journal of Cosmology and Astroparticle Physics, Vol. 2011, Issue 07
  • DOI: 10.1088/1475-7516/2011/07/017

Cosmic acceleration from Abelian symmetry breaking
journal, April 2014


Covariantized vector Galileons
journal, March 2016


Gauged galileons
journal, July 2019

  • Garcia-Saenz, Sebastian; Kang, Jonghee; Penco, Riccardo
  • Journal of High Energy Physics, Vol. 2019, Issue 7
  • DOI: 10.1007/JHEP07(2019)081

Resummation of Massive Gravity
journal, June 2011


Consistency Conditions on the Strong Interactions Implied by a Partially Conserved Axial-Vector Current
journal, February 1965


New Class of Effective Field Theories from Embedded Branes
journal, June 2011


Galileons as Wess-Zumino terms
journal, June 2012

  • Goon, Garrett; Hinterbichler, Kurt; Joyce, Austin
  • Journal of High Energy Physics, Vol. 2012, Issue 6
  • DOI: 10.1007/JHEP06(2012)004

Ghost-free derivative interactions for a massive graviton
journal, October 2013


    Works referencing / citing this record:

    EFT of interacting spin-2 fields
    journal, January 2020

    • Alberte, Lasma; de Rham, Claudia; Momeni, Arshia
    • Journal of High Energy Physics, Vol. 2020, Issue 1
    • DOI: 10.1007/jhep01(2020)131