Minimal Massive 3D Gravity Unitarity Redux

Abstract

A geometrical analysis of the bulk and anti-de Sitter boundary unitarity conditions of 3D "Minimal Massive Gravity" (MMG) (which evades the "bulk/boundary clash" of Topologically Massive Gravity) is used to extend and simplify previous results, showing that unitarity selects, up to equivalence, a connected region in parameter space. We also initiate the study of flat-space holography for MMG. Its relevant flat space limit is a deformation of 3D conformal gravity; the deformation is both non-linear and non-conformal, implying a linearisation instability.

15 pages. Two figures. Minor corrections plus extended discussion of allowed parameter space in v2. Improved figures, additional paragraph in conclusions and additional references in v3. Spurious page headers removed in v4

References in corpus (10)

• Massive Gravity in Three Dimensions
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• Chiral Gravity, Log Gravity and Extremal CFT
• GCA in 2d
• Flat-Space Chiral Gravity
• Massive 3D Supergravity
• On the Hamiltonian form of 3D massive gravity
• Matter coupling in 3D "Minimal Massive Gravity"
• Minimal Massive Gravity: Conserved Charges, Excitations and the Chiral Gravity Limit
• Extra gauge symmetries in BHT gravity

Cited by in corpus (17)

• Exotic Massive 3D Gravity
• The Third Way to 3D Gravity
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• WKB Approaches to Restore Time in Quantum Cosmology: Predictions and Shortcomings
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• Exotic massive 3D gravities from truncation
• On Exact Solutions and the Consistency of 3D Minimal Massive Gravity
• Kundt solutions of Minimal Massive 3D Gravity
• Homogeneous Solutions of Minimal Massive 3D Gravity
• Hamiltonian formalism of Minimal Massive Gravity
• Holographic Renormalization of 3D Minimal Massive Gravity
• Evanescent gravitons in Warped Anti-de Sitter space
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Weyl-Lorentz-U(1)-invariant symmetric teleparallel gravity in three dimensions
• Three-dimensional $\mathrm{SL}(2,\mathbb{R})$ Yang-Mills theory is three-dimensional gravity with background sources
• Canonical description of Exotic General Massive Gravity
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory