Built on

Springer, Berlin, Heidelberg, 5 ed., 1923, 10.1007/978-3-642-98950-6
H. Weyl, Raum, Zeit, Materie · 1923
Earlier work this paper cites.
A. Hodges, A simple formula for gravitational MHV amplitudes , 1204.1930
Original
1930
Earlier work this paper cites.
Z. Bern, C. Boucher-Veronneau and H. Johansson, 𝒩 ≥ 4 \mathcal{N}\geq 4 Supergravity Amplitudes from Gauge Theory at One Loop , Phys. Rev. D84
Original
1935
Earlier work this paper cites.
D. G. Boulware and L. S. Brown, Tree Graphs and Classical Fields , Phys. Rev. 172
1968
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Negative Metric and the Unitarity of the S Matrix , Nucl. Phys. B9
1969
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Finite Theory of Quantum Electrodynamics , Phys. Rev. D2
1970
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, One loop divergencies in the theory of gravitation , Ann. Inst. H. Poincare Phys. Theor. A20
1974
Earlier work this paper cites.
K. S. Stelle, Renormalization of Higher Derivative Quantum Gravity , Phys. Rev. D16
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Gauge Theory of the Conformal and Superconformal Group , Phys. Lett. 69B
1977
Earlier work this paper cites.
S. Ferrara, M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Gauging the Graded Conformal Group with Unitary Internal Symmetries , Nucl. Phys. B129
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Superconformal Unified Field Theory , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Properties of Conformal Supergravity , Phys. Rev. D17
1978
Earlier work this paper cites.
S. Ferrara and B. Zumino, Structure of Conformal Supergravity , Nucl. Phys. B134
1978
Earlier work this paper cites.
A. Das, M. Kaku and P. K. Townsend, A Unified Approach to Matter Coupling in Weyl and Einstein Supergravity , Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
E. Cremmer, J. Scherk and S. Ferrara, SU(4) Invariant Supergravity Theory , Phys. Lett. 74B
1978
Earlier work this paper cites.
B. de Wit and S. Ferrara, On Higher Order Invariants in Extended Supergravity , Phys. Lett. 81B
1979
Earlier work this paper cites.
P. K. Townsend and P. van Nieuwenhuizen, Simplifications of Conformal Supergravity , Phys. Rev. D19
1979
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Phys. Lett. B91
1980
Earlier work this paper cites.
E. Bergshoeff, M. de Roo and B. de Wit, Extended Conformal Supergravity , Nucl. Phys. B182
1981
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, Conformal Anomaly in Weyl Theory and Anomaly Free Superconformal Theories , Phys. Lett. 134B
1984
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, CONFORMAL SUPERGRAVITY , Phys. Rept. 119
1985
Earlier work this paper cites.
H. Romer and P. van Nieuwenhuizen, Axial Anomalies in N = 4 N=4 Conformal Supergravity , Phys. Lett. 162B
1985
Earlier work this paper cites.
N. Marcus, Composite Anomalies in Supergravity , Phys. Lett. 157B
1985
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
S. Deser and A. N. Redlich, String Induced Gravity and Ghost Freedom , Phys. Lett. B176
1986
Earlier work this paper cites.
F. A. Berends and W. T. Giele, Recursive Calculations for Processes with n Gluons , Nucl. Phys. B306
1988
Earlier work this paper cites.
V. P. Nair, A Current Algebra for Some Gauge Theory Amplitudes , Phys. Lett. B214
1988
Earlier work this paper cites.
hep-th/9209125
J. H. Schwarz, Dilaton - axion symmetry , in International Workshop on String Theory, Quantum Gravity and the Unification of Fundamental Interactions Rome, Italy, September 21-26, 1992 , pp. 503–520, 1992 · 1992
Earlier work this paper cites.
M. de Roo, The R**2 action in d = 10 conformal supergravity , Nucl. Phys. B372
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
Z. Bern, A. De Freitas and H. L. Wong, On the coupling of gravitons to matter , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory , JHEP 08
2004
Earlier work this paper cites.
E. Witten, Perturbative gauge theory as a string theory in twistor space , Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, On the tree level S matrix of Yang-Mills theory , Phys. Rev. D70
2004
Earlier work this paper cites.
Cambridge University Press, 2007
J. Polchinski, String theory. Vol. 2: Superstring theory and beyond · 2007
Earlier work this paper cites.
B. Grinstein, D. O’Connell and M. B. Wise, The Lee-Wick standard model , Phys. Rev. D77
Original
2008
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes , Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
J. Broedel and B. Wurm, New Twistor String Theories revisited , Phys. Lett. B675
Original
2009
Earlier work this paper cites.
L. Dolan and J. N. Ihry, Conformal Supergravity Tree Amplitudes from Open Twistor String Theory , Nucl. Phys. B819
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang and M. Kiermaier, Gravity as the Square of Gauge Theory , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, Gravity and Yang-Mills Amplitude Relations , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, New Identities among Gauge Theory Amplitudes , Phys. Lett. B691
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, Proof of Gravity and Yang-Mills Amplitude Relations , JHEP 09
Original
2010
Earlier work this paper cites.
H. Elvang, D. Z. Freedman and M. Kiermaier, Solution to the Ward Identities for Superamplitudes , JHEP 10
Original
2010
Earlier work this paper cites.
M. Chiodaroli, M. Gutperle and D. Krym, Half-BPS Solutions locally asymptotic to AdS(3) x S**3 and interface conformal field theories , JHEP 02
Original
2010
Earlier work this paper cites.
C. R. Mafra, O. Schlotterer and S. Stieberger, Explicit BCJ Numerators from Pure Spinors , JHEP 07
Original
2011
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, The Momentum Kernel of Gauge and Gravity Theories , JHEP 01
Original
2011
Earlier work this paper cites.
C. Boucher-Veronneau and L. J. Dixon, N >= 4 N>=4 Supergravity Amplitudes from Gauge Theory at Two Loops , JHEP 12
Original
2011
Earlier work this paper cites.
R. Monteiro and D. O’Connell, The Kinematic Algebra From the Self-Dual Sector , JHEP 07
Original
2011
Earlier work this paper cites.

Similar

C. Boucher-Veronneau and A. J. Larkoski, Constructing Amplitudes from Their Soft Limits , JHEP 09
Original
2011
Cited alongside, same era.
T. Bargheer, S. He and T. McLoughlin, New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes , Phys. Rev. Lett. 108
Original
2012
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes , Phys. Rev. D85
Original
2012
Cited alongside, same era.
J. Broedel and L. J. Dixon, Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators , JHEP 10
Original
2012
Cited alongside, same era.
J. J. Carrasco and H. Johansson, Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity , Phys. Rev. D85

Then

R. Boels, B. A. Kniehl and G. Yang, Master integrals for the four-loop Sudakov form factor , Nucl. Phys. B902
Original
2016
Later among the works it cites.
G. Yang, Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory , Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
A. K. Ridgway and M. B. Wise, Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy , Phys. Rev. D94
Original
2016
Later among the works it cites.
C. D. White, Exact solutions for the biadjoint scalar field , Phys. Lett. B763
Original
2016
Later among the works it cites.
A. Luna, R. Monteiro, I. Nicholson, D. O’Connell and C. D. White, The double copy: Bremsstrahlung and accelerating black holes , JHEP 06

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

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Reading the bibliography…

2018

Unraveling conformal gravity amplitudes

Johansson, Henrik, Mogull, Gustav, Teng, Fei

Understand

Conformal supergravity amplitudes are obtained from the double-copy construction using gauge-theory amplitudes, and compared to direct calculations starting from conformal supergravity Lagrangians.

We consider several different theories: minimal ${\cal N}=4$ conformal supergravity, non-minimal ${\cal N}=4$ Berkovits-Witten conformal supergravity, mass-deformed versions of these theories, as well as supersymmetry truncations thereof.
Coupling the theories to a Yang-Mills sector is also considered.
For all cases we give the gravity Lagrangians that the double copy implicitly generates.

Built on

Springer, Berlin, Heidelberg, 5 ed., 1923, 10.1007/978-3-642-98950-6
H. Weyl, Raum, Zeit, Materie · 1923
Earlier work this paper cites.
A. Hodges, A simple formula for gravitational MHV amplitudes , 1204.1930
Original
1930
Earlier work this paper cites.
Z. Bern, C. Boucher-Veronneau and H. Johansson, 𝒩 ≥ 4 \mathcal{N}\geq 4 Supergravity Amplitudes from Gauge Theory at One Loop , Phys. Rev. D84
Original
1935
Earlier work this paper cites.
D. G. Boulware and L. S. Brown, Tree Graphs and Classical Fields , Phys. Rev. 172
1968
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Negative Metric and the Unitarity of the S Matrix , Nucl. Phys. B9
1969
Earlier work this paper cites.
T. D. Lee and G. C. Wick, Finite Theory of Quantum Electrodynamics , Phys. Rev. D2
1970
Earlier work this paper cites.
G. ’t Hooft and M. J. G. Veltman, One loop divergencies in the theory of gravitation , Ann. Inst. H. Poincare Phys. Theor. A20
1974
Earlier work this paper cites.
K. S. Stelle, Renormalization of Higher Derivative Quantum Gravity , Phys. Rev. D16
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Gauge Theory of the Conformal and Superconformal Group , Phys. Lett. 69B
1977
Earlier work this paper cites.
S. Ferrara, M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Gauging the Graded Conformal Group with Unitary Internal Symmetries , Nucl. Phys. B129
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Superconformal Unified Field Theory , Phys. Rev. Lett. 39
1977
Earlier work this paper cites.
M. Kaku, P. K. Townsend and P. van Nieuwenhuizen, Properties of Conformal Supergravity , Phys. Rev. D17
1978
Earlier work this paper cites.
S. Ferrara and B. Zumino, Structure of Conformal Supergravity , Nucl. Phys. B134
1978
Earlier work this paper cites.
A. Das, M. Kaku and P. K. Townsend, A Unified Approach to Matter Coupling in Weyl and Einstein Supergravity , Phys. Rev. Lett. 40
1978
Earlier work this paper cites.
E. Cremmer, J. Scherk and S. Ferrara, SU(4) Invariant Supergravity Theory , Phys. Lett. 74B
1978
Earlier work this paper cites.
B. de Wit and S. Ferrara, On Higher Order Invariants in Extended Supergravity , Phys. Lett. 81B
1979
Earlier work this paper cites.
P. K. Townsend and P. van Nieuwenhuizen, Simplifications of Conformal Supergravity , Phys. Rev. D19
1979
Earlier work this paper cites.
A. A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity , Phys. Lett. B91
1980
Earlier work this paper cites.
E. Bergshoeff, M. de Roo and B. de Wit, Extended Conformal Supergravity , Nucl. Phys. B182
1981
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, Conformal Anomaly in Weyl Theory and Anomaly Free Superconformal Theories , Phys. Lett. 134B
1984
Earlier work this paper cites.
E. S. Fradkin and A. A. Tseytlin, CONFORMAL SUPERGRAVITY , Phys. Rept. 119
1985
Earlier work this paper cites.
H. Romer and P. van Nieuwenhuizen, Axial Anomalies in N = 4 N=4 Conformal Supergravity , Phys. Lett. 162B
1985
Earlier work this paper cites.
N. Marcus, Composite Anomalies in Supergravity , Phys. Lett. 157B
1985
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings , Nucl. Phys. B269
1986
Earlier work this paper cites.
S. Deser and A. N. Redlich, String Induced Gravity and Ghost Freedom , Phys. Lett. B176
1986
Earlier work this paper cites.
F. A. Berends and W. T. Giele, Recursive Calculations for Processes with n Gluons , Nucl. Phys. B306
1988
Earlier work this paper cites.
V. P. Nair, A Current Algebra for Some Gauge Theory Amplitudes , Phys. Lett. B214
1988
Earlier work this paper cites.
hep-th/9209125
J. H. Schwarz, Dilaton - axion symmetry , in International Workshop on String Theory, Quantum Gravity and the Unification of Fundamental Interactions Rome, Italy, September 21-26, 1992 , pp. 503–520, 1992 · 1992
Earlier work this paper cites.
M. de Roo, The R**2 action in d = 10 conformal supergravity , Nucl. Phys. B372
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon, M. Perelstein and J. S. Rozowsky, Multileg one loop gravity amplitudes from gauge theory , Nucl. Phys. B546
1999
Earlier work this paper cites.
Z. Bern, A. De Freitas and H. L. Wong, On the coupling of gravitons to matter , Phys. Rev. Lett. 84
2000
Earlier work this paper cites.
N. Berkovits and E. Witten, Conformal supergravity in twistor-string theory , JHEP 08
2004
Earlier work this paper cites.
E. Witten, Perturbative gauge theory as a string theory in twistor space , Commun. Math. Phys. 252
2004
Earlier work this paper cites.
R. Roiban, M. Spradlin and A. Volovich, On the tree level S matrix of Yang-Mills theory , Phys. Rev. D70
2004
Earlier work this paper cites.
Cambridge University Press, 2007
J. Polchinski, String theory. Vol. 2: Superstring theory and beyond · 2007
Earlier work this paper cites.
B. Grinstein, D. O’Connell and M. B. Wise, The Lee-Wick standard model , Phys. Rev. D77
Original
2008
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, New Relations for Gauge-Theory Amplitudes , Phys. Rev. D78
Original
2008
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard and P. Vanhove, Minimal Basis for Gauge Theory Amplitudes , Phys. Rev. Lett. 103
Original
2009
Earlier work this paper cites.
J. Broedel and B. Wurm, New Twistor String Theories revisited , Phys. Lett. B675
Original
2009
Earlier work this paper cites.
L. Dolan and J. N. Ihry, Conformal Supergravity Tree Amplitudes from Open Twistor String Theory , Nucl. Phys. B819
Original
2009
Earlier work this paper cites.
Z. Bern, J. J. M. Carrasco and H. Johansson, Perturbative Quantum Gravity as a Double Copy of Gauge Theory , Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.
Z. Bern, T. Dennen, Y.-t. Huang and M. Kiermaier, Gravity as the Square of Gauge Theory , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, Gravity and Yang-Mills Amplitude Relations , Phys. Rev. D82
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, New Identities among Gauge Theory Amplitudes , Phys. Lett. B691
Original
2010
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, B. Feng and T. Sondergaard, Proof of Gravity and Yang-Mills Amplitude Relations , JHEP 09
Original
2010
Earlier work this paper cites.
H. Elvang, D. Z. Freedman and M. Kiermaier, Solution to the Ward Identities for Superamplitudes , JHEP 10
Original
2010
Earlier work this paper cites.
M. Chiodaroli, M. Gutperle and D. Krym, Half-BPS Solutions locally asymptotic to AdS(3) x S**3 and interface conformal field theories , JHEP 02
Original
2010
Earlier work this paper cites.
C. R. Mafra, O. Schlotterer and S. Stieberger, Explicit BCJ Numerators from Pure Spinors , JHEP 07
Original
2011
Earlier work this paper cites.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard and P. Vanhove, The Momentum Kernel of Gauge and Gravity Theories , JHEP 01
Original
2011
Earlier work this paper cites.
C. Boucher-Veronneau and L. J. Dixon, N >= 4 N>=4 Supergravity Amplitudes from Gauge Theory at Two Loops , JHEP 12
Original
2011
Earlier work this paper cites.
R. Monteiro and D. O’Connell, The Kinematic Algebra From the Self-Dual Sector , JHEP 07
Original
2011
Earlier work this paper cites.

Similar

C. Boucher-Veronneau and A. J. Larkoski, Constructing Amplitudes from Their Soft Limits , JHEP 09
Original
2011
Cited alongside, same era.
T. Bargheer, S. He and T. McLoughlin, New Relations for Three-Dimensional Supersymmetric Scattering Amplitudes , Phys. Rev. Lett. 108
Original
2012
Cited alongside, same era.
Z. Bern, J. J. M. Carrasco, L. J. Dixon, H. Johansson and R. Roiban, Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes , Phys. Rev. D85
Original
2012
Cited alongside, same era.
J. Broedel and L. J. Dixon, Color-kinematics duality and double-copy construction for amplitudes from higher-dimension operators , JHEP 10
Original
2012
Cited alongside, same era.
J. J. Carrasco and H. Johansson, Five-Point Amplitudes in N=4 Super-Yang-Mills Theory and N=8 Supergravity , Phys. Rev. D85

Then

R. Boels, B. A. Kniehl and G. Yang, Master integrals for the four-loop Sudakov form factor , Nucl. Phys. B902
Original
2016
Later among the works it cites.
G. Yang, Color-kinematics duality and Sudakov form factor at five loops for N=4 supersymmetric Yang-Mills theory , Phys. Rev. Lett. 117
Original
2016
Later among the works it cites.
A. K. Ridgway and M. B. Wise, Static Spherically Symmetric Kerr-Schild Metrics and Implications for the Classical Double Copy , Phys. Rev. D94
Original
2016
Later among the works it cites.
C. D. White, Exact solutions for the biadjoint scalar field , Phys. Lett. B763
Original
2016
Later among the works it cites.
A. Luna, R. Monteiro, I. Nicholson, D. O’Connell and C. D. White, The double copy: Bremsstrahlung and accelerating black holes , JHEP 06

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2012

Cited alongside, same era.

R. H. Boels and R. S. Isermann, New relations for scattering amplitudes in Yang-Mills theory at loop level , Phys. Rev. D85

Original

2012

Cited alongside, same era.

Z. Bern, J. J. M. Carrasco, H. Johansson and R. Roiban, The Five-Loop Four-Point Amplitude of N=4 super-Yang-Mills Theory , Phys. Rev. Lett. 109

Original

2012

Cited alongside, same era.

Z. Bern, S. Davies, T. Dennen and Y.-t. Huang, Ultraviolet Cancellations in Half-Maximal Supergravity as a Consequence of the Double-Copy Structure , Phys. Rev. D86

Original

2012

Cited alongside, same era.

B. Feng and S. He, Graphs, determinants and gravity amplitudes , JHEP 10

Original

2012

Cited alongside, same era.

Cambridge Univ. Press, Cambridge, UK, 2012

D. Z. Freedman and A. Van Proeyen, Supergravity · 2012

Cited alongside, same era.

J. J. M. Carrasco, M. Chiodaroli, M. Gunaydin and R. Roiban, One-loop four-point amplitudes in pure and matter-coupled N <= 4 N<=4 supergravity , JHEP 03

Original

2013

Cited alongside, same era.

Y.-t. Huang and H. Johansson, Equivalent D=3 Supergravity Amplitudes from Double Copies of Three-Algebra and Two-Algebra Gauge Theories , Phys. Rev. Lett. 110

Original

2013

Cited alongside, same era.

Original

2016