Built on

L. Freidel, F. Hopfmüller, and A. Riello, “Holographic Renormalization in Flat Space: Symplectic Potential and Charges of Electromagnetism,” arXiv:1904.04384 [hep-th]
Original
1904
Earlier work this paper cites.
F. Alessio and M. Arzano, “A note on the symplectic structure of asymptotically flat gravity and BMS symmetries,” arXiv:1906.05036 [gr-qc]
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, “A Classical Proof of the Classical Soft Graviton Theorem in D > > 4,” arXiv:1906.08288 [gr-qc]
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, “Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes,” arXiv:1907.00990 [hep-th]
Original
1907
Earlier work this paper cites.
H. Bart, “Quasi-local conserved charges in General Relativity,” arXiv:1908.07504 [gr-qc]
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar, and C. Pope, “Dual gravitational charges and soft theorems,” JHEP
Original
1908
Earlier work this paper cites.
H. Lu, P. Mao, and J.-B. Wu, “Asymptotic Structure of Einstein-Maxwell-Dilaton Theory and Its Five Dimensional Origin,” JHEP
Original
1909
Earlier work this paper cites.
R. Ruzziconi, “Asymptotic Symmetries in the Gauge Fixing Approach and the BMS Group,” PoS
Original
1910
Earlier work this paper cites.
G. Barnich, P. Mao, and R. Ruzziconi, “BMS current algebra in the context of the Newman-Penrose formalism,” Class. Quant. Grav
Original
1910
Earlier work this paper cites.
S. Choi and R. Akhoury, “Magnetic Soft Charges, Dual Supertranslations and ’t Hooft Line Dressings,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
R. Oliveri and S. Speziale, “Boundary effects in General Relativity with tetrad variables,” arXiv:1912.01016 [gr-qc]
Original
1912
Earlier work this paper cites.
E. Cartan, “Sur une généralisation de la notion de courbure de riemann et les espaces à torsion,” Comptes rendus de l’Académie des Sciences de Paris
1922
Earlier work this paper cites.
A. H. Taub, “Empty space-times admitting a three parameter group of motions,” Annals of Mathematics
1951
Earlier work this paper cites.
R. E. Peierls, “The commutation laws of relativistic field theory,” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
1952
Earlier work this paper cites.
P. G. Bergmann and R. Schiller, “Classical and quantum field theories in the lagrangian formalism,” Phys. Rev
1953
Earlier work this paper cites.
T. Kibble, “Lorentz invariance and the gravitational field,” J. Math. Phys
1961
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.
E. T. Newman and T. W. J. Unti, “Behavior of asymptotically flat empty spaces,” Journal of Mathematical Physics
1962
Earlier work this paper cites.
E. Newman, L. Tamburino, and T. Unti, “Empty space generalization of the schwarzschild metric,” Journal of Mathematical Physics
1963
Earlier work this paper cites.
E. T. Newman and R. Penrose, “New conservation laws for zero rest-mass fields in asymptotically flat space-time,” Proc. Roy. Soc. Lond
1968
Earlier work this paper cites.
F. W. Hehl, P. von der Heyde, and G. D. Kerlick, “General relativity with spin and torsion and its deviations from einstein’s theory,” Phys. Rev. D
1974
Earlier work this paper cites.
Springer-Verlag New York, 1978
V. I. Arnold, Mathematical methods of classical mechanics · 1978
Earlier work this paper cites.
A. Ashtekar and A. Sen, “On the role of space-time topology in quantum phenomena: Superselection of charge and emergence of nontrivial vacua,” J. Math. Phys
1980
Earlier work this paper cites.

Similar

S. Ramaswamy and A. Sen, “Dual-mass in general relativity,” J.Math.Phys
1981
Cited alongside, same era.
H. T. Nieh and M. L. Yan, “An identity in Riemann-Cartan geometry,” J. Math. Phys
1982
Cited alongside, same era.
T. Dray and M. Streubel, “Angular momentum at null infinity,” Class. Quant. Grav
1984
Cited alongside, same era.
A. Ashtekar, “New variables for classical and quantum gravity,” Phys. Rev. Lett
1986
Cited alongside, same era.
J. Samuel, “A Lagrangian basis for Ashtekar’s formulation of canonical gravity,” Pramana
1987
Cited alongside, same era.
C. Crnkovic, “Symplectic Geometry of the Covariant Phase Space, Superstrings and Superspace,” Class. Quant. Grav
1988
Cited alongside, same era.

Then

L. Freidel, M. Geiller, and D. Pranzetti, “Edge modes of gravity - I: Corner potentials and charges,” arXiv:2006.12527 [hep-th]
Original
2006
Later among the works it cites.
H. Godazgar, M. Godazgar, and M. J. Perry, “Asymptotic gravitational charges,” arXiv:2007.01257 [hep-th]
Original
2007
Later among the works it cites.
L. Freidel, M. Geiller, and D. Pranzetti, “Edge modes of gravity – II: Corner metric and Lorentz charges,” arXiv:2007.03563 [hep-th]
Original
2007
Later among the works it cites.
S. Mercuri, “From the einstein-cartan to the ashtekar-barbero canonical constraints, passing through the nieh-yan functional,” Phys. Rev. D
2008
Later among the works it cites.
G. Date, R. K. Kaul, and S. Sengupta, “Topological Interpretation of Barbero-Immirzi Parameter,” Phys. Rev. D

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2020

Hamiltonian derivation of dual gravitational charges

Godazgar, Hadi, Godazgar, Mahdi, Perry, Malcolm J.

Understand

We provide a Hamiltonian derivation of recently discovered dual BMS charges.

In order to do so, we work in the first order formalism and add to the usual Palatini action, the Holst term, which does not contribute to the equations of motion.
We give a method for finding the leading order integrable dual charges \`a la Wald-Zoupas and construct the corresponding charge algebra.
We argue that in the presence of fermions, the relevant term that leads to dual charges is the topological Nieh-Yan term.

Built on

L. Freidel, F. Hopfmüller, and A. Riello, “Holographic Renormalization in Flat Space: Symplectic Potential and Charges of Electromagnetism,” arXiv:1904.04384 [hep-th]
Original
1904
Earlier work this paper cites.
F. Alessio and M. Arzano, “A note on the symplectic structure of asymptotically flat gravity and BMS symmetries,” arXiv:1906.05036 [gr-qc]
Original
1906
Earlier work this paper cites.
A. Laddha and A. Sen, “A Classical Proof of the Classical Soft Graviton Theorem in D > > 4,” arXiv:1906.08288 [gr-qc]
Original
1906
Earlier work this paper cites.
U. Kol and M. Porrati, “Properties of Dual Supertranslation Charges in Asymptotically Flat Spacetimes,” arXiv:1907.00990 [hep-th]
Original
1907
Earlier work this paper cites.
H. Bart, “Quasi-local conserved charges in General Relativity,” arXiv:1908.07504 [gr-qc]
Original
1908
Earlier work this paper cites.
H. Godazgar, M. Godazgar, and C. Pope, “Dual gravitational charges and soft theorems,” JHEP
Original
1908
Earlier work this paper cites.
H. Lu, P. Mao, and J.-B. Wu, “Asymptotic Structure of Einstein-Maxwell-Dilaton Theory and Its Five Dimensional Origin,” JHEP
Original
1909
Earlier work this paper cites.
R. Ruzziconi, “Asymptotic Symmetries in the Gauge Fixing Approach and the BMS Group,” PoS
Original
1910
Earlier work this paper cites.
G. Barnich, P. Mao, and R. Ruzziconi, “BMS current algebra in the context of the Newman-Penrose formalism,” Class. Quant. Grav
Original
1910
Earlier work this paper cites.
S. Choi and R. Akhoury, “Magnetic Soft Charges, Dual Supertranslations and ’t Hooft Line Dressings,” Phys. Rev. D
Original
1912
Earlier work this paper cites.
R. Oliveri and S. Speziale, “Boundary effects in General Relativity with tetrad variables,” arXiv:1912.01016 [gr-qc]
Original
1912
Earlier work this paper cites.
E. Cartan, “Sur une généralisation de la notion de courbure de riemann et les espaces à torsion,” Comptes rendus de l’Académie des Sciences de Paris
1922
Earlier work this paper cites.
A. H. Taub, “Empty space-times admitting a three parameter group of motions,” Annals of Mathematics
1951
Earlier work this paper cites.
R. E. Peierls, “The commutation laws of relativistic field theory,” Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences
1952
Earlier work this paper cites.
P. G. Bergmann and R. Schiller, “Classical and quantum field theories in the lagrangian formalism,” Phys. Rev
1953
Earlier work this paper cites.
T. Kibble, “Lorentz invariance and the gravitational field,” J. Math. Phys
1961
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.
E. T. Newman and T. W. J. Unti, “Behavior of asymptotically flat empty spaces,” Journal of Mathematical Physics
1962
Earlier work this paper cites.
E. Newman, L. Tamburino, and T. Unti, “Empty space generalization of the schwarzschild metric,” Journal of Mathematical Physics
1963
Earlier work this paper cites.
E. T. Newman and R. Penrose, “New conservation laws for zero rest-mass fields in asymptotically flat space-time,” Proc. Roy. Soc. Lond
1968
Earlier work this paper cites.
F. W. Hehl, P. von der Heyde, and G. D. Kerlick, “General relativity with spin and torsion and its deviations from einstein’s theory,” Phys. Rev. D
1974
Earlier work this paper cites.
Springer-Verlag New York, 1978
V. I. Arnold, Mathematical methods of classical mechanics · 1978
Earlier work this paper cites.
A. Ashtekar and A. Sen, “On the role of space-time topology in quantum phenomena: Superselection of charge and emergence of nontrivial vacua,” J. Math. Phys
1980
Earlier work this paper cites.

Similar

S. Ramaswamy and A. Sen, “Dual-mass in general relativity,” J.Math.Phys
1981
Cited alongside, same era.
H. T. Nieh and M. L. Yan, “An identity in Riemann-Cartan geometry,” J. Math. Phys
1982
Cited alongside, same era.
T. Dray and M. Streubel, “Angular momentum at null infinity,” Class. Quant. Grav
1984
Cited alongside, same era.
A. Ashtekar, “New variables for classical and quantum gravity,” Phys. Rev. Lett
1986
Cited alongside, same era.
J. Samuel, “A Lagrangian basis for Ashtekar’s formulation of canonical gravity,” Pramana
1987
Cited alongside, same era.
C. Crnkovic, “Symplectic Geometry of the Covariant Phase Space, Superstrings and Superspace,” Class. Quant. Grav
1988
Cited alongside, same era.

Then

L. Freidel, M. Geiller, and D. Pranzetti, “Edge modes of gravity - I: Corner potentials and charges,” arXiv:2006.12527 [hep-th]
Original
2006
Later among the works it cites.
H. Godazgar, M. Godazgar, and M. J. Perry, “Asymptotic gravitational charges,” arXiv:2007.01257 [hep-th]
Original
2007
Later among the works it cites.
L. Freidel, M. Geiller, and D. Pranzetti, “Edge modes of gravity – II: Corner metric and Lorentz charges,” arXiv:2007.03563 [hep-th]
Original
2007
Later among the works it cites.
S. Mercuri, “From the einstein-cartan to the ashtekar-barbero canonical constraints, passing through the nieh-yan functional,” Phys. Rev. D
2008
Later among the works it cites.
G. Date, R. K. Kaul, and S. Sengupta, “Topological Interpretation of Barbero-Immirzi Parameter,” Phys. Rev. D

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

T. Jacobson and L. Smolin, “Covariant Action for Ashtekar’s Form of Canonical Gravity,” Class. Quant. Grav

1988

Cited alongside, same era.

J. Lee and R. M. Wald, “Local symmetries and constraints,” J. Math. Phys

1990

Cited alongside, same era.

R. M. Wald, “On identically closed forms locally constructed from a field,” J. Math. Phys

1990

Cited alongside, same era.

R. M. Wald, “Black hole entropy is the Noether charge,” Phys. Rev. D

1993

Cited alongside, same era.

G. Immirzi, “The Reality conditions for the new canonical variables of general relativity,” Class. Quant. Grav

1993

Cited alongside, same era.

V. Iyer and R. M. Wald, “Some properties of Noether charge and a proposal for dynamical black hole entropy,” Phys. Rev

1994

Cited alongside, same era.

Original

2009