Massive gravity in three dimensions.

By Eric Bergshoeff, O. Hohm, P. Townsend. Physical Review Letters, 2009

766 citations recorded by the source corpus.

A particular higher-derivative extension of the Einstein-Hilbert action in three spacetime dimensions is shown to be equivalent at the linearized level to the (unitary) Pauli-Fierz action for a massive spin-2 field. A more general model, which also includes "topologically-massive" gravity as a special case, propagates the two spin-2 helicity states with different masses. We discuss the extension to massive N-extended supergravity, and we present a "cosmological" extension that admits an anti-de Sitter vacuum.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/c59b9f87bab91c48a05f23cca50ae70309f672a6

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Citations in the corpus

More on Massive 3D Gravity (2009, methodology): “We recently found a novel three-dimensional (3D) gravity model that propagates massive positive-energy spin 2 modes, of both helicities ±2, in a Minkowski vacuum [1]; in other words, an interacting, and generally covariant, extension of the Pauli-Fierz (PF) theory for massive spin 2 in 3D.”
Off-shell supergravity-matter couplings in three dimensions (2011, background): “Recently, there have appeared exciting results on massive 3D supergravity [13, 14, 15] which is a supersymmetric extension of the so-called new massive 3D gravity [16].”
Warped AdS3 black holes in new massive gravity (2009, background): “Solutions with a horizon and without naked closed timelike curves, but which may be transformed to the vacuum by a global coordinate transformation and thus are not genuine black holes, are discussed in the Appendix.”
On the new massive gravity and AdS/CFT (2010, background): “Recently a higher derivative theory of gravity has been proposed [1] in 2+1 dimensions which has nice properties[2, 3, 4, 5]; it is parity preserving and unitary–it has been christened “new massive gravity (NMG)”.”
Cosmological topologically massive gravitons and photons (2008, background): “[37], where further references may also be found.”
Higher spin gravity in 3D: Black holes, global charges and thermodynamics (2012, background): “[31, 32] in the context of topologically massive gravity [33–35], as well as in [36] for BHT “new” massive gravity [37] in vacuum.”
Theoretical Aspects of Massive Gravity (2011, background): “The first is new massive gravity (NMG), proposed by Bergshoeff, Hohm, and Townsend [203].”
AdS and Lifshitz black holes in conformal and Einstein-Weyl gravities (2012, background): “Such extensions in three dimensions include topologically massive gravity [2], and more recently, “New Massive Gravity” [3].”
Aspects of quadratic gravity (2015, background): “The absence of propagating spin 2 modes around flat backgrounds was also encountered in studies of three-dimensional massive gravity [22, 23].”
Massive Gravity (2014, background): “The specific case of the Born–Infeld extension of NMG, also has a surprising role as a counterterm in the AdS4 holographic renormalization group [326].”
Minimal massive 3D gravity (2014, background): “This too suffers from the defect that the central charge of the boundary CFT dual is negative whenever the bulk spin-2 modes have positive energy, and tuning to critical points again leads only to non-unitary ‘logarithmic’ boundary CFTs. Extensions of TMG or NMG with higher powers of curvature have ”
Topologically Massive Gravity and the AdS/CFT Correspondence (2009, methodology): “A similar procedure could also be followed to analyze the ‘new massive gravity’ of [51] around AdS solutions.”
Massive 3D supergravity (2009, methodology): “One may expand on this argument along the lines presented for NMG in [2], but here we present an alternative argument that extends the one used above for GMG.”
Born–Infeld inspired modifications of gravity (2017, methodology): “In [185], the authors followed this path to construct a Born-Infeld extension of the so-called New Massive Gravity theory [66], whose action is given by”
Spectral dimension of the universe in quantum gravity at a lifshitz point. (2009, methodology): “The lattice methods of dynamical triangulations do not offer enough analytical control over the details of the dynamics of geometry, and it would be desirable to compare the findings against an analytical tool in a continuum framework.”
Lifshitz black hole in three dimensions (2009, methodology): “NMG is defined by supplementing Einstein-Hilbert action with the particular square-curvature terms which gives raise to field equations with a second order trace.”
Lifshitz holography (2015, background): “For example, one can find Lifshitz solutions to three-dimensional higher derivative gravity theories, see [5], following the work of [6].”