Non-Abelian gauged supergravities as double copies

Chiodaroli, Marco; Günaydin, Murat; Johansson, Henrik; Roiban, Radu

doi:10.1007/jhep06(2019)099

Title: Non-Abelian gauged supergravities as double copies

Abstract

Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper, we develop a framework for double-copy constructions of Abelian and non-Abelian gaugings of N=8 supergravity with these properties. They are generally obtained as the double copy of a spontaneously-broken (possibly supersymmeric) gauge theory and a theory with explicitly-broken supersymmetry. We first identify purely-adjoint deformations of N=4 super-Yang-Millstheorythatpreservethedualitybetweencolorandkinematics. A combination of Higgsing and orbifolding yields the needed duality-satisfying gauge-theory factors with multiple matter representations. We present three explicit examples. Two are Cremmer-Scherk-Schwarz gaugings with unbroken N=6,4 supersymmetry and U(1) gauge group. The third has unbroken N=4 supersymmetry and SU(2) × U(1) gauge group. We also discuss examples in which the double-copy method gives theories with explicitly-broken supersymmetry.

Authors:

Chiodaroli, Marco ^[1]; Günaydin, Murat ^[2]; Johansson, Henrik ^[3]; Roiban, Radu ^[4]

Uppsala Univ. (Sweden)
Pennsylvania State Univ., University Park, PA (United States); Stanford Univ., CA (United States)
Uppsala Univ. (Sweden); KTH Royal Inst. of Technology, Stockholm (Sweden)
Pennsylvania State Univ., University Park, PA (United States)

Publication Date:: Wed Jun 19 00:00:00 EDT 2019

Research Org.:: Pennsylvania State Univ., University Park, PA (United States)

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

OSTI Identifier:: 1612021

Grant/Contract Number:: SC0013699

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: 6; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Extended Supersymmetry; Scattering Amplitudes; Supergravity Models

Citation Formats


                    Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, and Roiban, Radu. Non-Abelian gauged supergravities as double copies.  United States: N. p., 2019. 
Web.  doi:10.1007/jhep06(2019)099.

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                    Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, & Roiban, Radu. Non-Abelian gauged supergravities as double copies.  United States.  https://doi.org/10.1007/jhep06(2019)099

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                    Chiodaroli, Marco, Günaydin, Murat, Johansson, Henrik, and Roiban, Radu. Wed .  
"Non-Abelian gauged supergravities as double copies".  United States.  https://doi.org/10.1007/jhep06(2019)099.  https://www.osti.gov/servlets/purl/1612021.

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@article{osti_1612021,

  title        = {Non-Abelian gauged supergravities as double copies},

  author       = {Chiodaroli, Marco and Günaydin, Murat and Johansson, Henrik and Roiban, Radu},

  abstractNote = {Scattering amplitudes have the potential to provide new insights to the study of supergravity theories with gauged R-symmetry and Minkowski vacua. Such gaugings break supersymmetry spontaneously, either partly or completely. In this paper, we develop a framework for double-copy constructions of Abelian and non-Abelian gaugings of N=8 supergravity with these properties. They are generally obtained as the double copy of a spontaneously-broken (possibly supersymmeric) gauge theory and a theory with explicitly-broken supersymmetry. We first identify purely-adjoint deformations of N=4 super-Yang-Millstheorythatpreservethedualitybetweencolorandkinematics. A combination of Higgsing and orbifolding yields the needed duality-satisfying gauge-theory factors with multiple matter representations. We present three explicit examples. Two are Cremmer-Scherk-Schwarz gaugings with unbroken N=6,4 supersymmetry and U(1) gauge group. The third has unbroken N=4 supersymmetry and SU(2) × U(1) gauge group. We also discuss examples in which the double-copy method gives theories with explicitly-broken supersymmetry.},

  doi          = {10.1007/jhep06(2019)099},

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

  number       = 6,

  volume       = 2019,

  place        = {United States},

  year         = {Wed Jun 19 00:00:00 EDT 2019},

  month        = {Wed Jun 19 00:00:00 EDT 2019}

}

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DOI: 10.48550/arxiv.hep-th/0212239

Works referencing / citing this record:

Double copy for massive quantum particles with spin
text, January 2019

Johansson, Henrik; Ochirov, Alexander
ETH Zurich
DOI: 10.3929/ethz-b-000371463

Gauge $\times$ Gauge on Spheres
text, January 2019

Borsten, L.; Jubb, I.; Makwana, V.
arXiv
DOI: 10.48550/arxiv.1911.12324

The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
text, January 2020

Borsten, L.; Nagy, S.
arXiv
DOI: 10.48550/arxiv.2004.14945

On the Lagrangian formulation of the double copy to cubic order
text, January 2020

Ferrero, Pietro; Francia, Dario
arXiv
DOI: 10.48550/arxiv.2012.00713

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Supergravities with gauged R symmetry and Minkowski vacua allow for spontaneous supersymmetry breaking and, as such, provide a framework for building supergravity models of phenomenological relevance. In this Letter, we initiate the study of double copy constructions for these supergravities. We argue that, on general grounds, we expect their scattering amplitudes to be described by a double copy of the type (spontaneously broken gauge theory)Ⓧ (gauge theory with broken supersymmetry). We present a simple realization in which the resulting supergravity has U(1)_R gauge symmetry, spontaneously brokenmore »« less
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Title: Non-Abelian gauged supergravities as double copies

Abstract

Citation Formats

Gravity as Gauge Theory Squared: A Ghost Story journal, November 2018

Maximal Gauged Supergravity in Three Dimensions text, January 2001

Pure gravities via color-kinematics duality for fundamental matter journal, November 2015

Semi-abelian Z-theory: NLSM+ϕ 3 from the open string journal, August 2017

Coupling Gravitons to Matter journal, April 2000

Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems journal, May 2005

The gauging of five-dimensional, Maxwell–Einstein supergravity theories coupled to tensor multiplets journal, April 2000

Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy journal, July 2017

One-loop four-point amplitudes in pure and matter-coupled $ \mathcal{N}\leq 4 $ supergravity journal, March 2013

Scattering of Massless Particles in Arbitrary Dimensions journal, October 2014

Explicit BCJ numerators from pure spinors journal, July 2011

N ≥ 4 supergravity amplitudes from gauge theory at one loop journal, November 2011

Color/kinematics duality for general abelian orbifolds of $ \mathcal{N} $ = 4 super Yang-Mills theory journal, January 2014

Maximal Gauged Supergravity in Three Dimensions journal, February 2001

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM journal, July 2015

New relations for Einstein–Yang–Mills amplitudes journal, December 2016

Gauging the d = 5 Maxwell/Einstein supergravity theories: More on Jordan algebras journal, January 1985

How to get masses from extra dimensions journal, January 1979

Scattering of massless particles: scalars, gluons and gravitons journal, July 2014

IIB, or not IIB: That is the question journal, December 1985

Monodromy and Jacobi-like relations for color-ordered amplitudes journal, June 2010

Expansion of all multitrace tree level EYM amplitudes journal, December 2017

Special geometry, cubic polynomials and homogeneous quaternionic spaces journal, October 1992

N = 8 supergravity journal, November 1982

Vacua of 5D, N = 2 gauged Yang-Mills-Einstein-tensor supergravity: Abelian case journal, July 2000

Heterotic and bosonic string amplitudes via field theory journal, October 2018

Two-loop supersymmetric QCD and half-maximal supergravity amplitudes journal, September 2017

New ambitwistor string theories journal, November 2015

Non-compact gaugings of N = 8 supergravity journal, July 1984

A vertex operator algebra construction of the colour-kinematics dual numerator journal, September 2018

BCJ numerators from reduced Pfaffian journal, April 2017

Unifying relations for scattering amplitudes journal, February 2018

Non-compact gaugings from higher dimensions journal, December 1988

Color-kinematics duality for QCD amplitudes journal, January 2016

More on d=5 Maxwell-Einstein supergravity: symmetric spaces and kinks journal, September 1986

Amplitude relations in non-linear sigma model journal, January 2014

Perturbative Quantum Gravity as a Double Copy of Gauge Theory journal, August 2010

String-inspired BCJ numerators for one-loop MHV amplitudes journal, January 2016

Spontaneously broken N = 8 supergravity journal, June 1979

The maximal supergravities journal, June 2005

Spontaneous breaking of supersymmetry through dimensional reduction journal, March 1979

The structure of the gauged N = 8 supergravity theories journal, January 1985

Einstein-Yang-Mills from pure Yang-Mills amplitudes journal, October 2016

What is the simplest quantum field theory? journal, September 2010

Complete Construction of Magical, Symmetric, and Homogeneous N = 2 Supergravities as Double Copies of Gauge Theories journal, June 2016

On the moduli space of spontaneously broken N = 8 supergravity journal, September 2013

Scattering equations and Kawai-Lewellen-Tye orthogonality journal, September 2014

Evidence for a Family of SO(8) Gauged Supergravity Theories journal, November 2012

The SO(8) supergravity journal, November 1979

Gauging of Flat Groups in Four Dimensional Supergravity journal, July 2002

Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame journal, May 2017

Twin supergravities from Yang-Mills theory squared journal, July 2017

Symmetry for Flavor-Kinematics Duality from an Action journal, March 2017

Gauged Supergravities and Spontaneous Supersymmetry Breaking from the Double Copy Construction journal, April 2018

Gauging the full R -symmetry group in five-dimensional, N = 2 Yang-Mills-Einstein-tensor supergravity journal, February 2001

Note on off-shell relations in nonlinear sigma model journal, March 2015

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes journal, May 2012

Color-kinematics duality for pure Yang-Mills and gravity at one and two loops journal, August 2015

Gauged supergravities journal, March 2017

Are all supergravity theories Yang–Mills squared? journal, September 2018

Minimal Basis for Gauge Theory Amplitudes journal, October 2009

On Lagrangians and gaugings of maximal supergravities journal, April 2003

Einstein-Yang-Mills scattering amplitudes from scattering equations journal, January 2015

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string journal, June 2017

Unraveling conformal gravity amplitudes journal, September 2018

Explicit BCJ numerators of nonlinear simga model journal, September 2016

Manifesting color-kinematics duality in the scattering equation formalism journal, September 2016

The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras journal, August 1984

Scattering amplitudes in N = 2 $$ \mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity journal, January 2015

Scattering Amplitudes in Gauge Theory and Gravity book, January 2015

New relations for gauge-theory amplitudes journal, October 2008

Quantum corrections to broken N = 8 supergravity journal, September 2012

On the vacua of gauged supergravity in 4 dimensions journal, June 2012

Yang-Mills Origin of Gravitational Symmetries journal, December 2014

Ten-dimensional origin of Minkowski vacua in N = 8 supergravity journal, January 2018

Global symmetries of Yang-Mills squared in various dimensions journal, January 2016

Lectures on gauged supergravity and flux compactifications journal, October 2008

Gravity as Gauge Theory Squared: A Ghost Story
journal, November 2018

Maximal Gauged Supergravity in Three Dimensions
text, January 2001

Pure gravities via color-kinematics duality for fundamental matter
journal, November 2015

Semi-abelian Z-theory: NLSM+ϕ 3 from the open string
journal, August 2017

Coupling Gravitons to Matter
journal, April 2000

Gauged maximal supergravities and hierarchies of nonabelian vector-tensor systems
journal, May 2005

The gauging of five-dimensional, Maxwell–Einstein supergravity theories coupled to tensor multiplets
journal, April 2000

Explicit formulae for Yang-Mills-Einstein amplitudes from the double copy
journal, July 2017

One-loop four-point amplitudes in pure and matter-coupled $ \mathcal{N}\leq 4 $ supergravity
journal, March 2013

Scattering of Massless Particles in Arbitrary Dimensions
journal, October 2014

Explicit BCJ numerators from pure spinors
journal, July 2011

$N \geq 4$ supergravity amplitudes from gauge theory at one loop
journal, November 2011

Color/kinematics duality for general abelian orbifolds of $ \mathcal{N} $ = 4 super Yang-Mills theory
journal, January 2014

Maximal Gauged Supergravity in Three Dimensions
journal, February 2001

Scattering equations and matrices: from Einstein to Yang-Mills, DBI and NLSM
journal, July 2015

New relations for Einstein–Yang–Mills amplitudes
journal, December 2016

Gauging the d = 5 Maxwell/Einstein supergravity theories: More on Jordan algebras
journal, January 1985

How to get masses from extra dimensions
journal, January 1979

Scattering of massless particles: scalars, gluons and gravitons
journal, July 2014

IIB, or not IIB: That is the question
journal, December 1985

Monodromy and Jacobi-like relations for color-ordered amplitudes
journal, June 2010

Expansion of all multitrace tree level EYM amplitudes
journal, December 2017

Special geometry, cubic polynomials and homogeneous quaternionic spaces
journal, October 1992

N = 8 supergravity
journal, November 1982

Vacua of 5D, $N = 2$ gauged Yang-Mills-Einstein-tensor supergravity: Abelian case
journal, July 2000

Heterotic and bosonic string amplitudes via field theory
journal, October 2018

Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
journal, September 2017

New ambitwistor string theories
journal, November 2015

Non-compact gaugings of N = 8 supergravity
journal, July 1984

A vertex operator algebra construction of the colour-kinematics dual numerator
journal, September 2018

BCJ numerators from reduced Pfaffian
journal, April 2017

Unifying relations for scattering amplitudes
journal, February 2018

Non-compact gaugings from higher dimensions
journal, December 1988

Color-kinematics duality for QCD amplitudes
journal, January 2016

More on d=5 Maxwell-Einstein supergravity: symmetric spaces and kinks
journal, September 1986

Amplitude relations in non-linear sigma model
journal, January 2014

Perturbative Quantum Gravity as a Double Copy of Gauge Theory
journal, August 2010

String-inspired BCJ numerators for one-loop MHV amplitudes
journal, January 2016

Spontaneously broken N = 8 supergravity
journal, June 1979

The maximal supergravities
journal, June 2005

Spontaneous breaking of supersymmetry through dimensional reduction
journal, March 1979

The structure of the gauged N = 8 supergravity theories
journal, January 1985

Einstein-Yang-Mills from pure Yang-Mills amplitudes
journal, October 2016

What is the simplest quantum field theory?
journal, September 2010

Complete Construction of Magical, Symmetric, and Homogeneous $N = 2$ Supergravities as Double Copies of Gauge Theories
journal, June 2016

On the moduli space of spontaneously broken N = 8 supergravity
journal, September 2013

Scattering equations and Kawai-Lewellen-Tye orthogonality
journal, September 2014

Evidence for a Family of SO(8) Gauged Supergravity Theories
journal, November 2012

The SO(8) supergravity
journal, November 1979

Gauging of Flat Groups in Four Dimensional Supergravity
journal, July 2002

Expanding Einstein-Yang-Mills by Yang-Mills in CHY frame
journal, May 2017

Twin supergravities from Yang-Mills theory squared
journal, July 2017

Symmetry for Flavor-Kinematics Duality from an Action
journal, March 2017

Gauged Supergravities and Spontaneous Supersymmetry Breaking from the Double Copy Construction
journal, April 2018

Gauging the full $R$ -symmetry group in five-dimensional, $N = 2$ Yang-Mills-Einstein-tensor supergravity
journal, February 2001

Note on off-shell relations in nonlinear sigma model
journal, March 2015

Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
journal, May 2012

Color-kinematics duality for pure Yang-Mills and gravity at one and two loops
journal, August 2015

Gauged supergravities
journal, March 2017

Are all supergravity theories Yang–Mills squared?
journal, September 2018

Minimal Basis for Gauge Theory Amplitudes
journal, October 2009

On Lagrangians and gaugings of maximal supergravities
journal, April 2003

Einstein-Yang-Mills scattering amplitudes from scattering equations
journal, January 2015

Abelian Z-theory: NLSM amplitudes and α ′ -corrections from the open string
journal, June 2017

Unraveling conformal gravity amplitudes
journal, September 2018

Explicit BCJ numerators of nonlinear simga model
journal, September 2016

Manifesting color-kinematics duality in the scattering equation formalism
journal, September 2016

The geometry of N = 2 Maxwell-Einstein supergravity and Jordan algebras
journal, August 1984

Scattering amplitudes in N = 2 $$ \mathcal{N}=2 $$ Maxwell-Einstein and Yang-Mills/Einstein supergravity
journal, January 2015

Scattering Amplitudes in Gauge Theory and Gravity
book, January 2015

New relations for gauge-theory amplitudes
journal, October 2008

Quantum corrections to broken N = 8 supergravity
journal, September 2012

On the vacua of gauged supergravity in 4 dimensions
journal, June 2012

Yang-Mills Origin of Gravitational Symmetries
journal, December 2014

Ten-dimensional origin of Minkowski vacua in $N = 8$ supergravity
journal, January 2018

Global symmetries of Yang-Mills squared in various dimensions
journal, January 2016

Lectures on gauged supergravity and flux compactifications
journal, October 2008

Spontaneously broken Yang-Mills-Einstein supergravities as double copies
journal, June 2017

Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions
journal, April 2001

Double-Copy Structure of One-Loop Open-String Amplitudes
journal, July 2018