Chiral gravity in three dimensions

By Wei Li, Wei Song, Andrew Strominger. 2008

500 citations recorded by the source corpus.

Three dimensional Einstein gravity with negative cosmological constant ?1/?2 deformed by a gravitational Chern-Simons action with coefficient 1/? is studied in an asymptotically AdS3 spacetime. It is argued to violate unitary or positivity for generic ? due to negative-energy massive gravitons. However at the critical value ?? = 1, the massive gravitons disappear and BTZ black holes all have mass and angular momentum related by ?M = J. The corresponding chiral quantum theory of gravity is conjectured to exist and be dual to a purely right-moving boundary CFT with central charges (cL,?cR) = (0,?3?/G).

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b6a7091ca3a1fb01539546d1dc397422f2d3d447

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Citations in the corpus

Torsional anomalies, Hall viscosity, and bulk-boundary correspondence in topological states (2012, background): “Incidentally, chiral gravity has been studied in the context of holography[34], in which the gravitational fields are dynamical.”
A universal inequality for CFT and quantum gravity (2009, unknown): “If we would like to describe the bulk theory with a local Lagrangian, we would seem to need to add a gravitational Chern-Simons term [32, 33], of the kind used in [34].”
Massive Gravity (2014, background): “[377] it was earlier argued that there was no massive graviton excitations at the critical point μl = 1, however Ref.”
Topologically Massive Gravity and the AdS/CFT Correspondence (2009, methodology): “Notice that we put in an extra factor of the left- plus right-moving weight from each operator, which for Tzz and Tz̄z̄ are just factors of 2; in [3] such factors comes from a time derivative of the bulk modes and we will see similar factors appearing below.”
Massive gravity in three dimensions. (2009, methodology): “In this sense, TMG is a ‘squareroot’ of the new massive gravity proposed here, but both are actually special cases of a ‘general massive gravity’ (GMG) theory with two mass parameters.”
Analytic Continuation Of Chern-Simons Theory (2010, background): “4 is at least a cousin of the “chiral point” of three-dimensional gravity, which has been much studied recently [1].”
On the z=4 Horava-Lifshitz Gravity (2009, unknown): “1Email: cairg@itp.ac.cn 2Email: liuyan@itp.ac.cn 3Email: sunyw@itp.ac.cn”
Chiral gravity, log gravity, and extremal CFT (2009, background): “The mode h is a solution of the linearized equations of motion, but it is not an energy eigenstate and was not considered in [1].”
Warped AdS3 black holes (2008, background): “2) For asymptotically AdS3 spacetimes there is a critical chiral gravity theory at μl = 1 or ν = 1 3 [10].”
Instability in cosmological topologically massive gravity at the chiral point (2008, methodology): “Exploiting the properties of the underlying SL(2,R)L × SL(2,R)R isometry algebra, [7] argued that the energy of the would-be-negative mode actually is zero if the constants μ and l satisfy the chiral condition(1) μl = 1 .”
General covariance in quantum gravity at a Lifshitz point (2010, methodology): “In this sense, it is akin to several other, much studied models of gravity in 2 + 1 dimensions, such as standard general relativity or chiral gravity [27,28].”
Massive 3D supergravity (2009, background): “34) This is remarkable because μσ = ±1 are precisely the critical points which arise in the chiral gravity limit of TMG [6] in which, apart from the logarithmic modes that do not obey the standard Brown-Henneaux boundary conditions [8], the usual graviton mode ceases to propagate in the bulk.”
On the new massive gravity and AdS/CFT (2010, background): “In the context of topologically massive gravity of [16], holographic RG flows were studied in [17].”
Umbral Moonshine (2012, methodology): “We refer to [28, 29, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85] for further discussions on the AdS/CFT correspondence and extremal CFT’s.”
Theoretical Aspects of Massive Gravity (2011, background): “This theory has ghosts or negative-energy modes for generic values of the parameters, but for a special choice, it was argued that half of the theory completely decouples, stability is restored, and the theory becomes chiral under only one of the SL(2, R) factors [208, 209].”
Quantum Gravity at a Lifshitz Point (2009, background): “ physical signature 2 + 1, leading to a slightly diﬀerent reality condition on W, with w2 purely imaginary. There has been a recent resurgence of interest in topological massive gravity, initiated by [29]; see also [30]. – 18 – In order to compare these two theories, it is natural to express our mod”