Exotic massive 3D gravities from truncation

Abstract

We introduce a systematic way of constructing 3D exotic massive gravity theories in the first order formulation. Our method is based on truncating a single degree of freedom in the parity odd gravity models found earlier in arXiv:1405.6213 and supplementing it with appropriate potential terms such that the resulting models have well-defined metric equations but their Bianchi identities are satisfied only on-shell. Hence, they are `third way' consistent. We first re-derive two already known exotic theories using our approach and then construct an extended exotic massive gravity model whose metric field equation is sixth order in derivatives. We also explain how to check Bianchi identities using the first order formulation.

16 pages, v2:introduction and conclusion extended, references added

References in corpus (12)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Born-Infeld extension of new massive gravity
• Minimal Massive 3D Gravity
• Thermodynamics of Exotic Black Holes, Negative Temperature, and Bekenstein-Hawking Entropy
• Matter coupling in 3D "Minimal Massive Gravity"
• Extended massive gravity in three dimensions
• Minimal Massive 3D Gravity Unitarity Redux
• Yang-Mills as massive Chern-Simons theory: a third way to three-dimensional gauge theories
• Interacting spin-2 fields in three dimensions
• Energy of asymptotically AdS black holes in Exotic Massive Gravity and its log-extension
• Unitary Extension of Exotic Massive 3D Gravity from Bi-gravity

Cited by in corpus (16)

• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Complexity and Emergence of Warped ${\text{AdS}}_3$ Space-time from Chiral Liouville Action
• A Stringy theory in three dimensions and Massive Higher Spins
• The Third Way to Interacting $p$-form Theories
• The Holographic c-theorem and Infinite-dimensional Lie Algebras
• Nonlocal Massive Gravity from Einstein Gravity
• Minimal Massive Supergravity
• The Third way to 3D Supersymmetric Massive Yang-Mills Theory
• A Review of Third Way Consistent Theories
• Phase Transition Between Flat Space Cosmology and Hot Flat Spacetimes in GMMG and EGMG Models
• Matter coupling in Minimal Massive 3D Gravity and spinor-matter interactions in exterior algebra formalism
• Chern-Simons-Like Formulation of Exotic Massive 3D Gravity Models
• Perturbative Unitarity Calls for An Action
• A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory
• Canonical description of Exotic General Massive Gravity
• Aspects of three-dimensional higher-curvature gravities