Shift-symmetric spin-1 theories

Bonifacio, James; Hinterbichler, Kurt; Johnson, Laura A.; Joyce, Austin

doi:10.1007/jhep09(2019)029

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:

Bonifacio, James ^[1]; Hinterbichler, Kurt ^[1]; Johnson, Laura A. ^[1]; Joyce, Austin ^[2]

Case Western Reserve Univ., Cleveland, OH (United States)
Columbia Univ., New York, NY (United States)

Publication Date:: 2019-09-04

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.

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                    Bonifacio, James, Hinterbichler, Kurt, Johnson, Laura A., & Joyce, Austin. Shift-symmetric spin-1 theories.  United States.  https://doi.org/10.1007/jhep09(2019)029

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                    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.

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@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}

}

Copy to clipboard

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Works referencing / citing this record:

EFT of interacting spin-2 fields
journal, January 2020

Alberte, Lasma; de Rham, Claudia; Momeni, Arshia
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Title: Shift-symmetric spin-1 theories

Abstract

Citation Formats

Vector Effective Field Theories from Soft Limits journal, June 2018

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

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

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

DBI and the Galileon reunited journal, May 2010

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

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

Scalar Field Theories with Polynomial Shift Symmetries journal, September 2015

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

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

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

Massive Gravity journal, August 2014

de Sitter breaking through infrared divergences journal, July 2010

Generalizing Galileons journal, October 2011

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

Goldstones with extended shift symmetries journal, November 2014

Wave Equations in Conformal Space journal, April 1936

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

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

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

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

A Higgs mechanism for vector Galileons journal, March 2015

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

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

Soft bootstrap and supersymmetry journal, January 2019

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

Cosmic acceleration from Abelian symmetry breaking journal, April 2014

Covariantized vector Galileons journal, March 2016

Gauged galileons journal, July 2019

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

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

EFT of interacting spin-2 fields journal, January 2020

Vector Effective Field Theories from Soft Limits
journal, June 2018

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

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

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

DBI and the Galileon reunited
journal, May 2010

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

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

Scalar Field Theories with Polynomial Shift Symmetries
journal, September 2015

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

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

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

Massive Gravity
journal, August 2014

de Sitter breaking through infrared divergences
journal, July 2010

Generalizing Galileons
journal, October 2011

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

Goldstones with extended shift symmetries
journal, November 2014

Wave Equations in Conformal Space
journal, April 1936

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

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

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

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

A Higgs mechanism for vector Galileons
journal, March 2015

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

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

Soft bootstrap and supersymmetry
journal, January 2019

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

Cosmic acceleration from Abelian symmetry breaking
journal, April 2014

Covariantized vector Galileons
journal, March 2016

Gauged galileons
journal, July 2019

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

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

EFT of interacting spin-2 fields
journal, January 2020