Nonpropagation of massive mode on AdS2 in topologically massive gravity
arXiv:0901.4390 · doi:10.1140/epjc/s10052-010-1333-3
Abstract
Making use of Achucarro-Ortiz (AO) type of dimensional reduction, we study the topologically massive gravity with a negative cosmological constant on AdS2 spacetimes. For a constant dilaton, this two-dimensional model also admits three AdS2 vacuum solutions, which are related to two AdS3 and warped AdS3 backgrounds with an identification upon uplifting three dimensions. We carry out the perturbation analysis around these backgrounds to find what is a physically propagating field. However, it turns out that there is no propagating massive mode on AdS2 background, in contrast to the Kaluza-Klein (KK) type of dimensional reduction. We note that two dimensionally reduced actions are different and thus, the non-equivalence of their on-shell amplitudes is obtained.
19 pages, version to appear in EPJC
References in corpus (25)
- Massive Gravity in Three Dimensions
- Chiral Gravity in Three Dimensions
- Warped AdS_3 Black Holes
- Instability in cosmological topologically massive gravity at the chiral point
- Black hole mass and angular momentum in topologically massive gravity
- Cosmological Topologically Massive Gravitons and Photons
- Semi-classical central charge in topologically massive gravity
- Topologically Massive AdS Gravity
- BTZ Black Hole with Chern-Simons and Higher Derivative Terms
- Thermodynamics of Black Holes in Two (and Higher) Dimensions
- Central Charge for AdS_2 Quantum Gravity
- The Constraint Algebra of Topologically Massive AdS Gravity
- Three-dimensional Chern-Simons black holes
- Topologically Massive Gravity at the Chiral Point is Not Unitary
- Canonical structure of topologically massive gravity with a cosmological constant
- Quasi-Normal Modes in Topologically Massive Gravity
- Thermodynamics of Einstein-Born-Infeld black holes in three dimensions
- Constraint Dynamics and Gravitons in Three Dimensions
- Central Charge for 2D Gravity on AdS(2) and AdS(2)/CFT(1) Correspondence
- New attractor mechanism for spherically symmetric extremal black holes
- Logarithmic conformal field theory approach to topologically massive gravity
- Absorption Cross Section in Warped AdS Black Hole
- 2D Gravity on with Chern-Simons Corrections
- Thermodynamic duality between RN black hole and 2D dilaton gravity
- Topologically massive gravity on AdS spacetimes