On the new massive gravity and AdS/CFT

By Aninda Sinha. 2010

159 citations recorded by the source corpus.

Demanding the existence of a simple holographic c-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory. We consider extending the theory including upto six derivative curvature invariants. Black hole solutions are presented and consistency with 1+1 CFTs is checked. We present evidence that bulk unitarity is still in conflict with a positive CFT central charge for generic choice of parameters.

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

View Paper: https://www.semanticscholar.org/paper/bf1b7d862b3099b95550c75cc26cc5eedc1dea3a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Minimal massive 3D gravity (2014, background): “Extensions of TMG or NMG with higher powers of curvature have been discussed in the literature [7, 8] but the ‘bulk versus boundary clash’ persists.”
Holographic c-theorems in arbitrary dimensions (2010, background): “Recall that no three-dimensional gravity theory can constructed with only curvature-squared and curvature-cubed interactions which simultaneously satisfies a c-theorem and is ‘unitary’ [32].”
Comments on holographic entanglement entropy and RG flows (2012, background): “other gravity theories with higher curvature interactions for d= 2 and 3. Interesting families of holographic models were considered with higher curvature theories of the three-dimensional gravity in [53]. A dening feature of these theories was that the dual d= 2 boundary theory should exhibit a c-t”
Born–Infeld inspired modifications of gravity (2017, background): “Interestingly, the resulting action that they consider recovers at cubic order the extension of New Massive Gravity found in [332] by imposing the existence of a c−theorem.”
Massive Gravity (2014, background): “Together, these two additional degrees of freedom give the cubic curvature [447] and Born–Infeld extension NMG [279].”
Black holes in quasi-topological gravity (2010, background): “[11] constructs an interesting curvature-cubed theory in three dimensions.”