Built on

A. Bagchi, A. Mehra, and P. Nandi, “Field Theories with Conformal Carrollian Symmetry,” JHEP
Original
1901
Earlier work this paper cites.
G. Compere and D. Marolf, “Setting the boundary free in AdS/CFT,” Class. Quant. Grav
Original
1902
Earlier work this paper cites.
L. Ciambelli and R. G. Leigh, “Weyl Connections and their Role in Holography,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
L. Ciambelli, R. G. Leigh, C. Marteau, and P. M. Petropoulos, “Carroll Structures, Null Geometry and Conformal Isometries,” Phys. Rev. D
Original
1905
Earlier work this paper cites.
E. Ojeda and A. Pérez, “Boundary conditions for General Relativity in three-dimensional spacetimes, integrable systems and the KdV/mKdV hierarchies,” JHEP
Original
1906
Earlier work this paper cites.
D. Grumiller, A. Pérez, M. Sheikh-Jabbari, R. Troncoso, and C. Zwikel, “Spacetime structure near generic horizons and soft hair,” Phys. Rev. Lett
Original
1908
Earlier work this paper cites.
A. Bagchi, R. Basu, A. Mehra, and P. Nandi, “Field Theories on Null Manifolds,” JHEP
Original
1912
Earlier work this paper cites.
H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. K. Sachs, “Gravitational waves in general relativity. 8. Waves in asymptotically flat space-times,” Proc. Roy. Soc. Lond
1962
Earlier work this paper cites.
R. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev
1962
Earlier work this paper cites.
T. Regge and C. Teitelboim, “Role of Surface Integrals in the Hamiltonian Formulation of General Relativity,” Annals Phys
1974
Earlier work this paper cites.
M. Henneaux, “Geometry of Zero Signature Space-times,” Bull. Soc. Math. Belg
1979
Earlier work this paper cites.
Société mathématique de France, 1985
C. Fefferman and C. R. Graham, “Conformal invariants,” in Élie Cartan et les mathématiques d’ aujourd’hui - Lyon, 25-29 juin 1984 · 1985
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun. Math. Phys
1986
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,” Phys. Lett. B
1986
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys. B
1988
Earlier work this paper cites.
J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys
1990
Earlier work this paper cites.
C. Duval, G. W. Gibbons, and P. Horvathy, “Celestial mechanics, conformal structures and gravitational waves,” Phys. Rev. D
1991
Earlier work this paper cites.
Princeton University Press, 1992
M. Henneaux and C. Teitelboim, Quantization of gauge systems · 1992
Earlier work this paper cites.
J. D. Brown and J. W. York, Jr., “Quasilocal energy and conserved charges derived from the gravitational action,” Phys. Rev. D
1993
Earlier work this paper cites.
V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev. D
1994
Earlier work this paper cites.
O. Coussaert, M. Henneaux, and P. van Driel, “The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant,” Class. Quant. Grav
1995
Earlier work this paper cites.
The International series of monographs on physics 91 Oxford science publications. Clarendon Press, 1996
R. A. Bertlmann, Anomalies in quantum field theory · 1996
Earlier work this paper cites.
M. Banados, “Global charges in Chern-Simons field theory and the (2+1) black hole,” Phys. Rev. D
1996
Earlier work this paper cites.
M. Henningson and K. Skenderis, “The Holographic Weyl anomaly,” JHEP
1998
Earlier work this paper cites.
M. Banados, “Three-dimensional quantum geometry and black holes,” AIP Conf. Proc
1999
Earlier work this paper cites.
C. Imbimbo, A. Schwimmer, S. Theisen, and S. Yankielowicz, “Diffeomorphisms and holographic anomalies,” Class. Quant. Grav
2000
Earlier work this paper cites.
A. Schwimmer and S. Theisen, “Diffeomorphisms, anomalies and the Fefferman-Graham ambiguity,” JHEP
2000
Earlier work this paper cites.
R. M. Wald and A. Zoupas, “A General definition of ‘conserved quantities’ in general relativity and other theories of gravity,” Phys. Rev
2000
Earlier work this paper cites.
M. Henneaux, L. Maoz, and A. Schwimmer, “Asymptotic dynamics and asymptotic symmetries of three-dimensional extended AdS supergravity,” Annals Phys
2000
Earlier work this paper cites.
S. de Haro, S. N. Solodukhin, and K. Skenderis, “Holographic reconstruction of space-time and renormalization in the AdS / CFT correspondence,” Commun. Math. Phys
2001
Earlier work this paper cites.
M. Rooman and P. Spindel, “Uniqueness of the asymptotic AdS(3) geometry,” Class. Quant. Grav
2001
Earlier work this paper cites.
M. Rooman and P. Spindel, “Holonomies, anomalies and the Fefferman-Graham ambiguity in AdS(3) gravity,” Nucl. Phys. B
2001
Earlier work this paper cites.
N. Gupta and N. V. Suryanarayana, “Constructing Carrollian CFTs,” JHEP
Original
2001
Earlier work this paper cites.
H. Adami, D. Grumiller, S. Sadeghian, M. M. Sheikh-Jabbari, and C. Zwikel, “T-Witts from the horizon,” JHEP
Original
2002
Earlier work this paper cites.

Similar

K. Skenderis, “Lecture notes on holographic renormalization,” Class. Quant. Grav
2002
Cited alongside, same era.
G. Anastasiou, O. Miskovic, R. Olea, and I. Papadimitriou, “Counterterms, Kounterterms, and the variational problem in AdS gravity,” JHEP
Original
2003
Cited alongside, same era.
G. Compère, A. Fiorucci, and R. Ruzziconi, “The Λ \Lambda -BMS 4 charge algebra,” JHEP
Original
2004
Cited alongside, same era.
I. Papadimitriou and K. Skenderis, “Thermodynamics of asymptotically locally AdS spacetimes,” JHEP
2005
Cited alongside, same era.
D. Grumiller, M. M. Sheikh-Jabbari, and C. Zwikel, “Horizons 2020,” Int. J. Mod. Phys. D
Original
2005
Cited alongside, same era.

Then

C. Duval, G. W. Gibbons, and P. A. Horvathy, “Conformal Carroll groups,” J. Phys. A
Original
2014
Later among the works it cites.
C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang, “Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,” Class. Quant. Grav
Original
2014
Later among the works it cites.
C. Bunster, M. Henneaux, A. Perez, D. Tempo, and R. Troncoso, “Generalized Black Holes in Three-dimensional Spacetime,” JHEP
Original
2014
Later among the works it cites.
A. Bagchi, R. Basu, D. Grumiller, and M. Riegler, “Entanglement entropy in Galilean conformal field theories and flat holography,” Phys. Rev. Lett
Original
2015
Later among the works it cites.
A. Pérez, D. Tempo, and R. Troncoso, “Boundary conditions for General Relativity on AdS 3

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2022

Holographic Lorentz and Carroll Frames

Campoleoni, Andrea, Ciambelli, Luca, Delfante, Arnaud et al.

Understand

Relaxing the Bondi gauge, the solution space of three-dimensional gravity in the metric formulation has been shown to contain an additional free function that promotes the boundary metric to a Lorentz or Carroll frame, in asymptotically AdS or flat spacetimes.

We pursue this analysis and show that the solution space also admits a finite symplectic structure, obtained taking advantage of the built-in ambiguities.
The smoothness of the flat limit of the AdS symplectic structure selects a prescription in which the holographic anomaly appears in the boundary Lorentz symmetry, that rotates the frame.
This anomaly turns out to be cohomologically equivalent to the standard holographic Weyl anomaly and survives in the flat limit, thus predicting the existence of quantum anomalies in conformal Carrollian field theories.