Built on

D. Grumiller, P. Parekh and M. Riegler, “Local quantum energy conditions in non-Lorentz-invariant quantum field theories,” arXiv:1907.06650 [hep-th]
Original
1907
Earlier work this paper cites.
V. Godet and C. Marteau, “Gravitation in flat spacetime from entanglement,” arXiv:1908.02044 [hep-th]
Original
1908
Earlier work this paper cites.
H. Bondi, M. G. van der Burg, and A. W. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond. A
1962
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
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 47
1993
Earlier work this paper cites.
A. Ashtekar, J. Bicak and B. G. Schmidt, “Asymptotic structure of symmetry reduced general relativity,” Phys. Rev. D 55
1997
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “A New cosmological scenario in string theory,” Phys. Rev. D 66
2002
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “Time dependent orbifolds and string cosmology,” Fortsch. Phys. 52
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
G. Barnich and G. Compere, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions,” Class. Quant. Grav. 24
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
A. Bagchi, “Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories,” Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.

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Then

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Original
2016
Later among the works it cites.
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Later among the works it cites.
R. Basu and M. Riegler, “Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories,” Phys. Rev. D 93
Original
2016
Later among the works it cites.
O. Baghchesaraei, R. Fareghbal and Y. Izadi, “Flat-Space Holography and Stress Tensor of Kerr Black Hole,” Phys. Lett. B 760
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2019

First Law of Entanglement Entropy in Flat-Space Holography

Fareghbal, Reza, Shalamzari, Mehdi Hakami

Understand

According to flat/Bondi-Metzner-Sachs invariant field theories (BMSFT) correspondence, asymptotically flat spacetimes in $(d+1)$-dimensions are dual to $d$-dimensional BMSFTs.

In this duality, similar to the Ryu-Takayanagi proposal in the AdS/CFT correspondence, the entanglement entropy of subsystems in the field theory side is given by the area of some particular surfaces in the gravity side.
In this paper we find the holographic counterpart of the first law of entanglement entropy (FLEE) in a two-dimensional BMSFT.
We show that FLEE for the BMSFT perturbed states which are descried by three-dimensional flat-space cosmology, corresponds to the integral of a particular one-form on a closed curve.

Built on

D. Grumiller, P. Parekh and M. Riegler, “Local quantum energy conditions in non-Lorentz-invariant quantum field theories,” arXiv:1907.06650 [hep-th]
Original
1907
Earlier work this paper cites.
V. Godet and C. Marteau, “Gravitation in flat spacetime from entanglement,” arXiv:1908.02044 [hep-th]
Original
1908
Earlier work this paper cites.
H. Bondi, M. G. van der Burg, and A. W. Metzner, “Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,” Proc. Roy. Soc. Lond. A
1962
Earlier work this paper cites.
R. M. Wald, General Relativity
1984
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 47
1993
Earlier work this paper cites.
A. Ashtekar, J. Bicak and B. G. Schmidt, “Asymptotic structure of symmetry reduced general relativity,” Phys. Rev. D 55
1997
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “A New cosmological scenario in string theory,” Phys. Rev. D 66
2002
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “Time dependent orbifolds and string cosmology,” Fortsch. Phys. 52
2004
Earlier work this paper cites.
S. Ryu and T. Takayanagi, “Holographic derivation of entanglement entropy from AdS/CFT,” Phys. Rev. Lett. 96
2006
Earlier work this paper cites.
G. Barnich and G. Compere, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions,” Class. Quant. Grav. 24
2007
Earlier work this paper cites.
V. E. Hubeny, M. Rangamani and T. Takayanagi, “A Covariant holographic entanglement entropy proposal,” JHEP 0707
Original
2007
Earlier work this paper cites.
A. Bagchi, “Correspondence between Asymptotically Flat Spacetimes and Nonrelativistic Conformal Field Theories,” Phys. Rev. Lett. 105
Original
2010
Earlier work this paper cites.