A spin-4 analog of 3D massive gravity

Abstract

A 6th-order, but ghost-free, gauge-invariant action is found for a 4th-rank symmetric tensor potential in a three-dimensional (3D) Minkowski spacetime. It propagates two massive modes of spin 4 that are interchanged by parity, and is thus a spin-4 analog of linearized "new massive gravity". Also found are ghost-free spin-4 analogs of linearized "topologically massive gravity" and "new topologically massive gravity", of 5th- and 8th-order respectively.

16 pages, v2 : version published in Class. Quant. Grav

References in corpus (5)

• Massive Gravity in Three Dimensions
• More on Massive 3D Gravity
• Ghost-free, finite, fourth order D=3 (alas) gravity
• Anyons from Strings
• Duality of parity doublets of helicity $\pm 2$ in $D=2+1$

Cited by in corpus (25)

• Classical and quantum stability of higher-derivative dynamics
• A note on higher-derivative actions for free higher-spin fields
• Higher Spin Conformal Geometry in Three Dimensions and Prepotentials for Higher Spin Gauge Fields
• Stable interactions in higher derivative field theories of derived type
• High Spin Topologically Massive Gravity
• Multi-Hamiltonian formulations and stability of higher-derivative extensions of $3d$ Chern-Simons
• Topologically massive higher spin gauge theories
• On "New Massive" 4D Gravity
• The non-linear coupled spin 2 - spin 3 Cotton equation in three dimensions
• Twisted self-duality for higher spin gauge fields and prepotentials
• Spin projection operators and higher-spin Cotton tensors in three dimensions
• Higher-derivative massive actions from dimensional reduction
• Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry
• Conservation Laws and Stability of Field Theories of Derived Type
• Higher-spin gauge theories in three spacetime dimensions
• Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields
• On higher spin analogues of linearized Topologically Massive Gravity and linearized "New Massive Gravity"
• Stable interactions between higher derivative extended Chern-Simons and charged scalar field
• Higher-spin Cotton tensors and massive gauge-invariant actions in AdS${}_3$
• On Topologically Massive Spin-2 Gauge Theories beyond Three Dimensions
• Soldering spin-3 opposite helicities in $D=2+1$
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect
• Higher-spin gauge models with (1,1) supersymmetry in AdS${}_3$: Reduction to (1,0) superspace
• AdS (super)projectors in three dimensions and partial masslessness
• Reaching out a "geometrical" description for spin-4 self-dual models in $D=2+1$