Built on

C. J. Isham, A. Salam and J. A. Strathdee, “Nonlinear realizations of space-time symmetries. Scalar and tensor gravity,” Annals Phys. 62
1971
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Fiz. Elem. Chast. Atom. Yadra 4
1973
Earlier work this paper cites.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
A. B. Borisov and V. I. Ogievetsky, “Theory of Dynamical Affine and Conformal Symmetries as the Theory of the Gravitational Field,” Theor. Math. Phys. 21
1974
Earlier work this paper cites.
E. A. Ivanov and V. I. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor. Mat. Fiz. 25
1975
Earlier work this paper cites.
S. Deser and A. Schwimmer, “Geometric classification of conformal anomalies in arbitrary dimensions,” Phys. Lett. B 309
1993
Earlier work this paper cites.
C. R. Graham and E. Witten, “Conformal anomaly of submanifold observables in AdS / CFT correspondence,” Nucl. Phys. B 546
1999
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B 485
2000
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.

Similar

A. Nicolis and R. Rattazzi, “Classical and quantum consistency of the DGP model,” JHEP 0406
2004
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A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis and R. Rattazzi, “Causality, analyticity and an IR obstruction to UV completion,” JHEP 0610
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A. Nicolis, R. Rattazzi and E. Trincherini, “The Galileon as a local modification of gravity,” Phys. Rev. D 79
Original
2009
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Cited alongside, same era.
C. de Rham and G. Gabadadze, “Generalization of the Fierz-Pauli Action,” Phys. Rev. D 82
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Then

C. de Rham, G. Gabadadze, D. Pirtskhalava, A. J. Tolley and I. Yavin, “Nonlinear Dynamics of 3D Massive Gravity,” JHEP 1106
Original
2011
Later among the works it cites.
G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, “Galileons as Wess-Zumino Terms,” JHEP 1206
Original
2012
Later among the works it cites.
Z. Komargodski, “The Constraints of Conformal Symmetry on RG Flows,” JHEP 1207
Original
2012
Later among the works it cites.
L. V. Delacrétaz, S. Endlich, A. Monin, R. Penco and F. Riva, “(Re-)Inventing the Relativistic Wheel: Gravity, Cosets, and Spinning Objects,” JHEP 1411
Original
2014
Later among the works it cites.
G. Goon, K. Hinterbichler, A. Joyce and M. Trodden, “Aspects of Galileon Non-Renormalization,” JHEP 1611

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2018

Gravitational Dressing of 3D Conformal Galileon

Gabadadze, Gregory, Tukhashvili, Giorgi

Understand

Could a conformal Galileon be describing a gauge mode of a broader diffeomorphism invariant theory? We answer this question affirmatively in 3D by using a coset construction for a nonlinearly realized conformal symmetry.

In particular, we show that the conformal Galileon emerges as a St\"uckelberg field of a local Weyl symmetry.
The coset construction gives us a diffeomorphism and Weyl invariant 3D theory containing first, second, and third powers of the curvatures, their couplings to certain tensors made of the Galileon and its derivatives, and the conformal Galileon terms.
In a theory with a boundary additional surface terms are required for the boundary Weyl anomaly cancellation.

Built on

C. J. Isham, A. Salam and J. A. Strathdee, “Nonlinear realizations of space-time symmetries. Scalar and tensor gravity,” Annals Phys. 62
1971
Earlier work this paper cites.
D. V. Volkov, “Phenomenological Lagrangians,” Fiz. Elem. Chast. Atom. Yadra 4
1973
Earlier work this paper cites.
G. W. Horndeski, “Second-order scalar-tensor field equations in a four-dimensional space,” Int. J. Theor. Phys. 10
1974
Earlier work this paper cites.
A. B. Borisov and V. I. Ogievetsky, “Theory of Dynamical Affine and Conformal Symmetries as the Theory of the Gravitational Field,” Theor. Math. Phys. 21
1974
Earlier work this paper cites.
E. A. Ivanov and V. I. Ogievetsky, “The Inverse Higgs Phenomenon in Nonlinear Realizations,” Teor. Mat. Fiz. 25
1975
Earlier work this paper cites.
S. Deser and A. Schwimmer, “Geometric classification of conformal anomalies in arbitrary dimensions,” Phys. Lett. B 309
1993
Earlier work this paper cites.
C. R. Graham and E. Witten, “Conformal anomaly of submanifold observables in AdS / CFT correspondence,” Nucl. Phys. B 546
1999
Earlier work this paper cites.
G. R. Dvali, G. Gabadadze and M. Porrati, “4-D gravity on a brane in 5-D Minkowski space,” Phys. Lett. B 485
2000
Earlier work this paper cites.
M. A. Luty, M. Porrati and R. Rattazzi, “Strong interactions and stability in the DGP model,” JHEP 0309
2003
Earlier work this paper cites.