Fetching the paper…

Reading the bibliography…

2016

Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space

Detournay, Stéphane, Riegler, Max

Original
PDF
Post on X

Understand

In this paper we present a new set of asymptotic boundary conditions for Einstein gravity in 2+1 dimensions with vanishing cosmological constant that are a generalization of the Barnich-Comp{\`e}re boundary conditions gr-qc/0610130.

These new boundary conditions lead to an asymptotic symmetry algebra that is generated by a $\mathfrak{bms}_3$ algebra and two affine $\hat{\mathfrak{u}}(1)$ current algebras.
We then apply these boundary conditions to Topologically Massive Gravity (TMG) and determine how the presence of the gravitational Chern-Simons term affects the central extensions of the asymptotic symmetry algebra.
We furthermore determine the thermal entropy of solutions obeying our new boundary conditions for both Einstein gravity and TMG.

Enhanced Asymptotic Symmetry Algebra of 2+1 Dimensional Flat Space · Around

Built on

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. Sachs, “Asymptotic symmetries in gravitational theory,” Phys. Rev
1962
Earlier work this paper cites.
S. Deser, R. Jackiw, and S. Templeton, “Three-dimensional massive gauge theories,” Phys. Rev. Lett
1982
Earlier work this paper cites.
L. F. Abbott and S. Deser, “Stability of Gravity with a Cosmological Constant,” Nucl. Phys
1982
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.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys
1988
Earlier work this paper cites.
M. Bañados, C. Teitelboim, and J. Zanelli, “The black hole in three-dimensional space-time,” Phys. Rev. Lett
1992
Earlier work this paper cites.
Princeton University Press, Princeton, New Jersey, 1992
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems · 1992
Earlier work this paper cites.
M. Bañados, M. Henneaux, C. Teitelboim, and J. Zanelli, “Geometry of the (2+1) black hole,” Phys. Rev
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
1994
Earlier work this paper cites.
A. Ashtekar, J. Bicak, and B. G. Schmidt, “Asymptotic structure of symmetry reduced general relativity,” Phys. Rev
1997
Earlier work this paper cites.
S. Deser, R. Jackiw, and S. Templeton, “Topologically Massive Gauge Theories,” Annals Phys
2000
Earlier work this paper cites.
M. Henneaux, C. Martinez, R. Troncoso, and J. Zanelli, “Black holes and asymptotics of 2+1 gravity coupled to a scalar field,” Phys. Rev
2002
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “A New cosmological scenario in string theory,” Phys. Rev
2002
Earlier work this paper cites.
Institute of Physics Publishing, Bristol and Philadelphia, 2002
M. Blagojevic, Gravitation and Gauge Symmetries · 2002
Earlier work this paper cites.
S. Deser and B. Tekin, “Energy in topologically massive gravity,” Class. Quant. Grav
2003
Earlier work this paper cites.
L. Cornalba and M. S. Costa, “Time dependent orbifolds and string cosmology,” Fortsch. Phys
2004
Earlier work this paper cites.
S. N. Solodukhin, “Holography with gravitational Chern-Simons,” Phys. Rev
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
2007
Earlier work this paper cites.
A. Bouchareb and G. Clement, “Black hole mass and angular momentum in topologically massive gravity,” Class. Quant. Grav
Original
2007
Earlier work this paper cites.
Y. Tachikawa, “Black hole entropy in the presence of Chern-Simons terms,” Class. Quant. Grav
2007
Earlier work this paper cites.
M.-I. Park, “BTZ black hole with gravitational Chern-Simons: Thermodynamics and statistical entropy,” Phys. Rev
2008
Earlier work this paper cites.

Similar

M.-I. Park, “BTZ Black Hole with Higher Derivatives, the Second Law of Thermodynamics, and Statistical Entropy: A New Proposal,” Phys. Rev
2008
Cited alongside, same era.
D. Grumiller and N. Johansson, “Consistent boundary conditions for cosmological topologically massive gravity at the chiral point,” Int. J. Mod. Phys
Original
2009
Cited alongside, same era.
M. Henneaux, C. Martinez, and R. Troncoso, “Asymptotically anti-de Sitter spacetimes in topologically massive gravity,” Phys. Rev
Original
2009
Cited alongside, same era.
K. Skenderis, M. Taylor, and B. C. van Rees, “Topologically Massive Gravity and the AdS/CFT Correspondence,” JHEP
Original
2009
Cited alongside, same era.
G. Compere and S. Detournay, “Semi-classical central charge in topologically massive gravity,” Class. Quant. Grav

Then

M. Ammon, A. Castro, and N. Iqbal, “Wilson Lines and Entanglement Entropy in Higher Spin Gravity,” JHEP
Original
2013
Later among the works it cites.
A. Bagchi, S. Detournay, D. Grumiller, and J. Simon, “Cosmic Evolution from Phase Transition of Three-Dimensional Flat Space,” Phys. Rev. Lett
Original
2013
Later among the works it cites.
H. Afshar, A. Bagchi, R. Fareghbal, D. Grumiller, and J. Rosseel, “Spin-3 Gravity in Three-Dimensional Flat Space,” Phys. Rev. Lett
Original
2013
Later among the works it cites.
H. A. Gonzalez, J. Matulich, M. Pino, and R. Troncoso, “Asymptotically flat spacetimes in three-dimensional higher spin gravity,” JHEP
Original
2013
Later among the works it cites.
S. G. Avery, R. R. Poojary, and N. V. Suryanarayana, “An sl(2, ℝ \mathbb{R} ) current algebra from A d S 3 AdS_{3} gravity,” JHEP

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2009

Cited alongside, same era.

E. A. Bergshoeff, O. Hohm, and P. K. Townsend, “Massive Gravity in Three Dimensions,” Phys. Rev. Lett

2009

Cited alongside, same era.

O. Hohm and E. Tonni, “A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds,” JHEP

2010

Cited alongside, same era.

A. Sinha, “On the new massive gravity and AdS/CFT,” JHEP

2010

Cited alongside, same era.

G. Barnich and C. Troessaert, “Aspects of the BMS/CFT correspondence,” JHEP

2010

Cited alongside, same era.

M. Gutperle and P. Kraus, “Higher Spin Black Holes,” JHEP

2011

Cited alongside, same era.

M. Ammon, M. Gutperle, P. Kraus, and E. Perlmutter, “Spacetime Geometry in Higher Spin Gravity,” JHEP

2011

Cited alongside, same era.

H. Afshar, B. Cvetkovic, S. Ertl, D. Grumiller, and N. Johansson, “Conformal Chern-Simons holography - lock, stock and barrel,” Phys. Rev

2012

Cited alongside, same era.

2014

Later among the works it cites.

A. Bagchi and R. Basu, “3D Flat Holography: Entropy and Logarithmic Corrections,” JHEP

2014

Later among the works it cites.

J. de Boer and J. I. Jottar, “Thermodynamics of higher spin black holes in A d S 3 AdS_{3} ,” JHEP

2014

Later among the works it cites.

J. de Boer and J. I. Jottar, “Entanglement Entropy and Higher Spin Holography in AdS 3 ,” JHEP

2014

Later among the works it cites.

C. Krishnan, A. Raju, and S. Roy, “A Grassmann path from A d S 3 AdS_{3} to flat space,” JHEP

2014

Later among the works it cites.

C. Troessaert, “Poisson Structure of the Boundary Gravitons in 3D Gravity with Negative Λ \Lambda ,” Class. Quant. Grav

2015

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

2015

Later among the works it cites.

H. Afshar, S. Detournay, D. Grumiller, and B. Oblak, “Near-Horizon Geometry and Warped Conformal Symmetry,” JHEP

2016

Closest in time.

H. Afshar, S. Detournay, D. Grumiller, W. Merbis, A. Perez, D. Tempo, and R. Troncoso, “Soft Heisenberg hair on black holes in three dimensions,” Phys. Rev

2016

Closest in time.

A. Pérez, D. Tempo, and R. Troncoso, “Boundary conditions for General Relativity on AdS 3

2016

Closest in time.

M. R. Setare and H. Adami, “Near Horizon Symmetries of the Non-Extremal Black Hole Solutions of Generalized Minimal Massive Gravity,” Phys. Lett

2016

Closest in time.

D. Grumiller and M. Riegler, “Most general AdS 3

2016

Closest in time.

G. Compère, P.-J. Mao, A. Seraj, and M. M. Sheikh-Jabbari, “Symplectic and Killing symmetries of AdS 3

2016

Closest in time.

G. Barnich, C. Troessaert, D. Tempo, and R. Troncoso, “Asymptotically locally flat spacetimes and dynamical nonspherically-symmetric black holes in three dimensions,” Phys. Rev

2016

Closest in time.

R. Basu and M. Riegler, “Wilson Lines and Holographic Entanglement Entropy in Galilean Conformal Field Theories,” Phys. Rev

2016

Closest in time.

PhD thesis, Vienna, Tech. U., 2016

M. Riegler, How General Is Holography? · 2016

Closest in time.

M. R. Setare and H. Adami, “The Heisenberg algebra as near horizon symmetry of the black flower solutions of Chern–Simons-like theories of gravity,” Nucl. Phys

2017

Closest in time.