Shift symmetries in (anti) de Sitter space

Bonifacio, James; Hinterbichler, Kurt; Joyce, Austin; Rosen, Rachel A.

doi:10.1007/jhep02(2019)178

Title: Shift symmetries in (anti) de Sitter space

Abstract

We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)dS space. These symmetries are parametrized by generalized Killing tensors and exist for fields with particular discrete masses corresponding to the longitudinal modes of massive fields in partially massless limits. We construct interactions for scalars that preserve these shift symmetries, including an extension of the special galileon to (A)dS space, and discuss possible generalizations to interacting massive higher-spin particles.

Authors:

Bonifacio, James ^[1]; Hinterbichler, Kurt ^[1]; Joyce, Austin ^[2]; Rosen, Rachel A. ^[2]

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

Publication Date:: Tue Feb 26 00:00:00 EST 2019

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

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1611717

Grant/Contract Number:: SC0011941; SC0019143

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: 2; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; global symmetries; higher spin symmetry

Citation Formats


                    Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Shift symmetries in (anti) de Sitter space.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep02(2019)178.

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                    Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, & Rosen, Rachel A. Shift symmetries in (anti) de Sitter space.  United States.  https://doi.org/10.1007/jhep02(2019)178

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                    Bonifacio, James, Hinterbichler, Kurt, Joyce, Austin, and Rosen, Rachel A. Tue .  
"Shift symmetries in (anti) de Sitter space".  United States.  https://doi.org/10.1007/jhep02(2019)178.  https://www.osti.gov/servlets/purl/1611717.

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@article{osti_1611717,

  title        = {Shift symmetries in (anti) de Sitter space},

  author       = {Bonifacio, James and Hinterbichler, Kurt and Joyce, Austin and Rosen, Rachel A.},

  abstractNote = {We construct a class of extended shift symmetries for fields of all integer spins in de Sitter (dS) and anti-de Sitter (AdS) space. These generalize the shift symmetry, galileon symmetry, and special galileon symmetry of massless scalars in flat space to all symmetric tensor fields in (A)dS space. These symmetries are parametrized by generalized Killing tensors and exist for fields with particular discrete masses corresponding to the longitudinal modes of massive fields in partially massless limits. We construct interactions for scalars that preserve these shift symmetries, including an extension of the special galileon to (A)dS space, and discuss possible generalizations to interacting massive higher-spin particles.},

  doi          = {10.1007/jhep02(2019)178},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 2,

  volume       = 2019,

  place        = {United States},

  year         = {Tue Feb 26 00:00:00 EST 2019},

  month        = {Tue Feb 26 00:00:00 EST 2019}

}

Copy to clipboard

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DOI: 10.48550/arxiv.hep-th/9905104

Notes on higher-spin algebras: minimal representations and structure constants
journal, May 2014

Joung, Euihun; Mkrtchyan, Karapet
Journal of High Energy Physics, Vol. 2014, Issue 5
DOI: 10.1007/jhep05(2014)103

Weyl vs. Conformal
text, January 2015

Karananas, Georgios K.; Monin, Alexander
arXiv
DOI: 10.48550/arxiv.1510.08042

Weyl versus Conformal Invariance in Quantum Field Theory
text, January 2017

Farnsworth, Kara; Luty, Markus A.; Prilepina, Valentina
arXiv
DOI: 10.48550/arxiv.1702.07079

Works referencing / citing this record:

An algebraic classification of exceptional EFTs
journal, August 2019

Roest, Diederik; Stefanyszyn, David; Werkman, Pelle
Journal of High Energy Physics, Vol. 2019, Issue 8
DOI: 10.1007/jhep08(2019)081

Looking for partially-massless gravity
journal, July 2019

Joung, Euihun; Mkrtchyan, Karapet; Poghosyan, Gabriel
Journal of High Energy Physics, Vol. 2019, Issue 7
DOI: 10.1007/jhep07(2019)116

Theory for multiple partially massless spin-2 fields
journal, November 2019

Boulanger, Nicolas; Deffayet, Cédric; Garcia-Saenz, Sebastian
Physical Review D, Vol. 100, Issue 10
DOI: 10.1103/physrevd.100.101701

Shift-symmetric spin-1 theories
journal, September 2019

Bonifacio, James; Hinterbichler, Kurt; Johnson, Laura A.
Journal of High Energy Physics, Vol. 2019, Issue 9
DOI: 10.1007/jhep09(2019)029

A theory for multiple partially massless spin-2 fields
conference, August 2020

Traina, Lucas; Boulanger, Nicolas; Deffayet, Cédric
Proceedings of Corfu Summer Institute 2019 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2019)
DOI: 10.22323/1.376.0142

An Algebraic Classification of Exceptional EFTs
text, January 2019

Roest, Diederik; Stefanyszyn, David; Werkman, Pelle
arXiv
DOI: 10.48550/arxiv.1903.08222

Looking for partially-massless gravity
text, January 2019

Joung, Euihun; Mkrtchyan, Karapet; Poghosyan, Gabriel
arXiv
DOI: 10.48550/arxiv.1904.05915

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Title: Shift symmetries in (anti) de Sitter space

Abstract

Citation Formats

Manifest duality for partially massless higher spins journal, September 2016

Structure of Phenomenological Lagrangians. II journal, January 1969

On higher spin symmetries in AdS 5 journal, October 2013

Partial masslessness of higher spins in (A)dS journal, July 2001

Inflation in Flatland journal, January 2017

Geometric formulation for partially massless fields journal, November 2006

Weyl vs. conformal journal, June 2016

Gauge invariance versus masslessness in de Sitter spaces journal, May 1984

Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren journal, February 1977

Conformal invariant powers of the Laplacian, Fefferman–Graham ambient metric and Ricci gauging journal, November 2007

Massive gravity journal, September 2013

A periodic table of effective field theories journal, February 2017

Anomalous propagation of gauge fields in conformally flat spaces journal, December 1983

AdSd+1→AdSd journal, October 2005

Wave Equations in Conformal Space journal, April 1936

An infinite set of Ward identities for adiabatic modes in cosmology journal, January 2014

Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian journal, January 2007

Stability in gauged extended supergravity journal, December 1982

Constant curvature algebras and higher spin action generating functions journal, September 2005

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

Recursion relations for conformal blocks journal, September 2016

Conformal symmetries of adiabatic modes in cosmology journal, August 2012

Mixed-symmetry fields in de Sitter space: a group theoretical glance journal, May 2017

Forbidden mass range for spin-2 field theory in de Sitter spacetime journal, January 1987

Conformal Killing tensors in reducible spaces journal, September 1977

Scalar Tachyons in the de Sitter Universe journal, June 2010

Covariant theory of asymptotic symmetries, conservation laws and central charges journal, June 2002

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

Riding on irrelevant operators journal, November 2014

Holographic de Sitter Geometry from Entanglement in Conformal Field Theory journal, February 2016

Flato-Fronsdal theorem for higher-order singletons journal, November 2014

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

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

Killing tensors in spaces of constant curvature journal, November 1986

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

Wave Equations in Conformal Space: Wave Equation for Nucleon journal, January 1955

Radial dimensional reduction: (anti) de Sitter theories from flat journal, July 2002

All unitary ray representations of the conformal group SU(2,2) with positive energy text, January 1975

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space text, January 2001

Structure of Phenomenological Lagrangians. I journal, January 1969

Conformally Invariant Powers of the Laplacian, I: Existence journal, December 1992

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

Partially massless fields during inflation journal, April 2018

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

Non-linear representations of the conformal group and mapping of galileons journal, October 2013

Vector Effective Field Theories from Soft Limits journal, June 2018

How massless are massless fields in AdS journal, October 2000

Scalar Field Theories with Polynomial Shift Symmetries journal, September 2015

On-Shell Recursion Relations for Effective Field Theories journal, January 2016

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

Aspects of Galileon non-renormalization journal, November 2016

Higher-order singletons, partially massless fields, and their boundary values in the ambient approach journal, November 2013

Nonlinear equations for symmetric massless higher spin fields in (A)dSd journal, August 2003

Probing scalar effective field theories with the soft limits of scattering amplitudes journal, April 2017

Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism journal, July 2009

Massive Gravity journal, August 2014

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space journal, June 2001

Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions journal, November 2010

Consistency relations for the conformal mechanism journal, April 2013

Goldstones with extended shift symmetries journal, November 2014

Partially massless higher-spin theory journal, February 2017

On the cubic interactions of massive and partially-massless higher spins in (A)dS journal, July 2012

de Sitter Tachyons and Related Topics journal, February 2015

AdS/CFT equivalence transformation journal, October 2002

Restrictions imposed by superconformal invariance on quantum field theories journal, January 1998

Free □ k scalar conformal field theory journal, February 2017

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

De Sitter Galileon journal, May 2011

Boundary values of mixed-symmetry massless fields in AdS space journal, December 2016

All unitary ray representations of the conformal group SU(2,2) with positive energy journal, February 1977

Weyl versus conformal invariance in quantum field theory journal, October 2017

Stability of massive cosmological gravitons journal, May 2001

Ads/CFT correspondence and symmetry breaking journal, September 1999

Conformal operators for partially massless states journal, October 2001

Non-linear realizations of conformal symmetry and effective field theory for the pseudo-conformal universe journal, June 2012

Higher symmetries of the Laplacian journal, January 2005

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

Manifest duality for partially massless higher spins
journal, September 2016

Structure of Phenomenological Lagrangians. II
journal, January 1969

On higher spin symmetries in AdS 5
journal, October 2013

Partial masslessness of higher spins in (A)dS
journal, July 2001

Inflation in Flatland
journal, January 2017

Geometric formulation for partially massless fields
journal, November 2006

Weyl vs. conformal
journal, June 2016

Gauge invariance versus masslessness in de Sitter spaces
journal, May 1984

Kontravariante Formen auf induzierten Darstellungen halbeinfacher Lie-Algebren
journal, February 1977

Conformal invariant powers of the Laplacian, Fefferman–Graham ambient metric and Ricci gauging
journal, November 2007

Massive gravity
journal, September 2013

A periodic table of effective field theories
journal, February 2017

Anomalous propagation of gauge fields in conformally flat spaces
journal, December 1983

AdSd+1→AdSd
journal, October 2005

Wave Equations in Conformal Space
journal, April 1936

An infinite set of Ward identities for adiabatic modes in cosmology
journal, January 2014

Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian
journal, January 2007

Stability in gauged extended supergravity
journal, December 1982

Constant curvature algebras and higher spin action generating functions
journal, September 2005

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

Recursion relations for conformal blocks
journal, September 2016

Conformal symmetries of adiabatic modes in cosmology
journal, August 2012

Mixed-symmetry fields in de Sitter space: a group theoretical glance
journal, May 2017

Forbidden mass range for spin-2 field theory in de Sitter spacetime
journal, January 1987

Conformal Killing tensors in reducible spaces
journal, September 1977

Scalar Tachyons in the de Sitter Universe
journal, June 2010

Covariant theory of asymptotic symmetries, conservation laws and central charges
journal, June 2002

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

Riding on irrelevant operators
journal, November 2014

Holographic de Sitter Geometry from Entanglement in Conformal Field Theory
journal, February 2016

Flato-Fronsdal theorem for higher-order singletons
journal, November 2014

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

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

Killing tensors in spaces of constant curvature
journal, November 1986

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

Wave Equations in Conformal Space: Wave Equation for Nucleon
journal, January 1955

Radial dimensional reduction: (anti) de Sitter theories from flat
journal, July 2002

All unitary ray representations of the conformal group SU(2,2) with positive energy
text, January 1975

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space
text, January 2001

Structure of Phenomenological Lagrangians. I
journal, January 1969

Conformally Invariant Powers of the Laplacian, I: Existence
journal, December 1992

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

Partially massless fields during inflation
journal, April 2018

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

Non-linear representations of the conformal group and mapping of galileons
journal, October 2013

Vector Effective Field Theories from Soft Limits
journal, June 2018

How massless are massless fields in AdS
journal, October 2000

Scalar Field Theories with Polynomial Shift Symmetries
journal, September 2015

On-Shell Recursion Relations for Effective Field Theories
journal, January 2016

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

Aspects of Galileon non-renormalization
journal, November 2016

Higher-order singletons, partially massless fields, and their boundary values in the ambient approach
journal, November 2013

Nonlinear equations for symmetric massless higher spin fields in (A)dSd
journal, August 2003

Probing scalar effective field theories with the soft limits of scattering amplitudes
journal, April 2017

Unfolding mixed-symmetry fields in AdS and the BMV conjecture: I. General formalism
journal, July 2009

Massive Gravity
journal, August 2014

Gauge Invariances and Phases of Massive Higher Spins in (Anti-) de Sitter Space
journal, June 2001

Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
journal, November 2010

Consistency relations for the conformal mechanism
journal, April 2013

Goldstones with extended shift symmetries
journal, November 2014

Partially massless higher-spin theory
journal, February 2017

On the cubic interactions of massive and partially-massless higher spins in (A)dS
journal, July 2012

de Sitter Tachyons and Related Topics
journal, February 2015

AdS/CFT equivalence transformation
journal, October 2002

Restrictions imposed by superconformal invariance on quantum field theories
journal, January 1998

Free □ k scalar conformal field theory
journal, February 2017

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

De Sitter Galileon
journal, May 2011

Boundary values of mixed-symmetry massless fields in AdS space
journal, December 2016

All unitary ray representations of the conformal group SU(2,2) with positive energy
journal, February 1977

Weyl versus conformal invariance in quantum field theory
journal, October 2017

Stability of massive cosmological gravitons
journal, May 2001

Ads/CFT correspondence and symmetry breaking
journal, September 1999

Conformal operators for partially massless states
journal, October 2001

Non-linear realizations of conformal symmetry and effective field theory for the pseudo-conformal universe
journal, June 2012

Higher symmetries of the Laplacian
journal, January 2005

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

Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
journal, December 2011

Scalar field in an arbitrary dimension from the standpoint of higher-spin Gauge theory
journal, May 2000

Entanglement, holography and causal diamonds
journal, August 2016