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2013

An sl(2, R) current algebra from AdS_3 gravity

Avery, Steven G., Poojary, Rohan R., Suryanarayana, Nemani V.

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We provide a set of chiral boundary conditions for three-dimensional gravity that allow for asymptotic symmetries identical to those of two-dimensional induced gravity in light-cone gauge considered by Polyakov.

These are the most general boundary conditions consistent with the boundary terms introduced by Compere, Song and Strominger recently.
We show that the asymptotic symmetry algebra of our boundary conditions is an sl(2,R) current algebra with level given by c/6.
The fully non-linear solution in Fefferman--Graham coordinates is also provided along with its charges.

An sl(2, R) current algebra from AdS_3 gravity · Around

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G. Compere and D. Marolf, “Setting the boundary free in AdS/CFT,” Class.Quant.Grav
Original
1902
Earlier work this paper cites.
A. M. Polyakov, “Quantum Geometry of Bosonic Strings,” Phys.Lett
1981
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. M. Polyakov, “Quantum Gravity in Two-Dimensions,” Mod.Phys.Lett
1987
Earlier work this paper cites.

Similar

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V. Balasubramanian and P. Kraus, “A Stress tensor for Anti-de Sitter gravity,” Commun.Math.Phys
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K. Skenderis and S. N. Solodukhin, “Quantum effective action from the AdS / CFT correspondence,” Phys.Lett
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G. Barnich and F. Brandt, “Covariant theory of asymptotic symmetries, conservation laws and central charges,” Nucl.Phys
2002
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G. Compère, W. Song, and A. Strominger, “Chiral Liouville Gravity,” arXiv:1303.2660 [hep-th]
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G. Compère, W. Song, and A. Strominger, “New Boundary Conditions for AdS3,” arXiv:1303.2662 [hep-th]
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Cited in the paper.
C. Troessaert, “Enhanced asymptotic symmetry algebra of AdS3,” arXiv:1303.3296 [hep-th]
Original
Cited in the paper.
T. Azeyanagi, D. M. Hofman, W. Song, and A. Strominger, “The Spectrum of Strings on Warped A d S 3 × S 3 AdS_{3}\times S^{3} ,” arXiv:1207.5050 [hep-th]
Original
Cited in the paper.

Then

M. Banados, O. Chandia, and A. Ritz, “Holography and the Polyakov action,” Phys.Rev
2002
Later among the works it cites.
S. Carlip, “Conformal field theory, (2+1)-dimensional gravity, and the BTZ black hole,” Class.Quant.Grav
2005
Later among the works it cites.
G. Barnich and G. Compère, “Surface charge algebra in gauge theories and thermodynamic integrability,” J.Math.Phys
Original
2008
Later among the works it cites.

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