New Bi-Gravity from New Massive Garvity

Abstract

Using the action of three dimensional New Massive Gravity (NMG) we construct a new bi-gravity in three dimensions. This can be done by promoting the rank two auxiliary field appearing in the expression of NMG's action into a dynamical field. We show that small fluctuations around the AdS vacuum of the model are non-tachyonic and ghost free within certain range of the parameters of the model. We study central charges of the dual field theory and observe that in this range they are positive too. This suggests that the proposed model might be a consistent three dimensional bi-gravity.

arXiv comment28 pages, 2 figures, two appendices are added, typos fixed, journal version

References in corpus (28)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Massive Gravity in Three Dimensions
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Chiral Gravity in Three Dimensions
• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Instability in cosmological topologically massive gravity at the chiral point
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Cosmological Topologically Massive Gravitons and Photons
• Topologically Massive Gravity and the AdS/CFT Correspondence
• Topologically Massive AdS Gravity
• Minimal Massive 3D Gravity
• A boundary stress tensor for higher-derivative gravity in AdS and Lifshitz backgrounds
• AdS_3/LCFT_2 - Correlators in New Massive Gravity
• Consistent Boundary Conditions for New Massive Gravity in $Ad{S}_3$
• On Partially Massless Bimetric Gravity
• Conformal Invariance of Partially Massless Higher Spins
• Zwei-Dreibein Gravity
• AdS_3/LCFT_2 - Correlators in Cosmological Topologically Massive Gravity
• Tractors, Mass and Weyl Invariance
• Bimetric Theory and Partial Masslessness with Lanczos-Lovelock Terms in Arbitrary Dimensions
• Non Pauli-Fierz Massive Gravitons
• Three-dimensional massive gravity and the bigravity black hole
• On Partially Massless Theory in 3 Dimensions
• Extra gauge symmetries in BHT gravity

Cited by in corpus (3)

• On the Butterfly Effect in 3D Gravity
• Thin-Shells and Thin-Shell Wormholes in New Massive Gravity
• Novel nonlinear kinetic terms for gravitons