Equations of Motion for Massive Spin 2 Field Coupled to Gravity

Abstract

We investigate the problems of consistency and causality for the equations of motion describing massive spin two field in external gravitational and massless scalar dilaton fields in arbitrary spacetime dimension. From the field theoretical point of view we consider a general classical action with non-minimal couplings and find gravitational and dilaton background on which this action describes a theory consistent with the flat space limit. In the case of pure gravitational background all field components propagate causally. We show also that the massive spin two field can be consistently described in arbitrary background by means of the lagrangian representing an infinite series in the inverse mass. Within string theory we obtain equations of motion for the massive spin two field coupled to gravity from the requirement of quantum Weyl invariance of the corresponding two dimensional sigma-model. In the lowest order in ${\alpha }^{\prime }$ we demonstrate that these effective equations of motion coincide with consistent equations derived in field theory.

27 pages, LaTeX file, journal version

References in corpus (1)

• String Theory and Noncommutative Geometry

Cited by in corpus (94)

• Theoretical Aspects of Massive Gravity
• Effective Field Theory for Massive Gravitons and Gravity in Theory Space
• Partial Masslessness of Higher Spins in (A)dS
• Cubic interaction vertices for massive and massless higher spin fields
• Massive spin-2 fields on black hole spacetimes: Instability of the Schwarzschild and Kerr solutions and bounds on the graviton mass
• On higher spins and the tensionless limit of String Theory
• String Lessons for Higher-Spin Interactions
• Recent developments in bimetric theory
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• Lagrangian formulation of the massless higher integer spin fields in the AdS background
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• On Consistent Theories of Massive Spin-2 Fields Coupled to Gravity
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• On massive spin 2 interactions
• BRST approach to Lagrangian construction for fermionic higher spin fields in AdS space
• Spin-2 spectrum of defect theories
• Gauge gravity duality for d-wave superconductors: prospects and challenges
• Inconsistencies of Massive Charged Gravitating Higher Spins
• BRST approach to Lagrangian construction for fermionic massless higher spin fields
• On Higher Spin Theory: Strings, BRST, Dimensional Reductions
• Brane Partons and Singleton Strings
• Massive Spin-2 Field in De Sitter Space
• Massive Gravity Acausality Redux
• On spin 3 interacting with gravity
• New 4D, N = 1 Superfield Theory: Model of Free Massive Superspin-3/2 Multiplet
• Tractors, Mass and Weyl Invariance
• Holographic Fermi arcs and a d-wave gap
• Black holes in massive gravity
• Gauge invariant Lagrangian construction for massive higher spin fermionic fields
• On massive spin 2 electromagnetic interactions
• Quantum Effects in Softly Broken Gauge Theories in Curved Space-Times
• Massive gauge-invariant field theories on spaces of constant curvature
• Mixed-symmetry massive fields in AdS(5)
• Partially massless gravitons do not destroy general relativity black holes
• Classical Limit of Higher-Spin String Amplitudes
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• Mass eigenstates in bimetric theory with matter coupling
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• Consistent massive graviton on arbitrary backgrounds
• Dynamical Superfield Theory of Free Massive Superspin-1 Multiplet
• Holographic d-wave superconductors
• (Dis)continuities of Massless Limits in Spin 3/2-mediated Interactions and Cosmological Supergravity
• Linear spin-2 fields in most general backgrounds
• Conformal geometry and (super)conformal higher-spin gauge theories
• A Universal Bound on the Strong Coupling Scale of a Gravitationally Coupled Massive Spin-2 Particle
• Partially Massless Graviton on Beyond Einstein Spacetimes
• Comments on the diphoton excess: critical reappraisal of effective field theory interpretations
• Teleparallel origin of the Fierz picture for spin-2 particle
• Instability and backreaction of massive spin-2 fields around black holes
• Extracting Bigravity from String Theory
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Massive spin-2 field in arbitrary spacetimes -- the detailed derivation
• $d+id$ Holographic Superconductors
• Propagation peculiarities of mean field massive gravity
• Effective Lagrangian from Higher Curvature Terms: Absence of vDVZ Discontinuity in AdS Space
• Loop Variables in String Theory
• On the infinite-dimensional spin-2 symmetries in Kaluza-Klein theories
• Higher Spin Gravitational Couplings and the Yang--Mills Detour Complex
• Structures in multiple spin-2 interactions
• Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
• BRST Lagrangian construction for spin-2 field in Einstein space
• Universality of tunnelling particles in Hawking radiation
• Causality Constraints in Large $N$ QCD Coupled to Gravity
• Massive gravitons in arbitrary spacetimes
• Holographic Constraints on a Vector Boson
• New massive spin two model on curved space-time
• Loop Variables and Gauge Invariance in (Open) Bosonic String Theory
• Black holes in torsion bigravity
• Canonical Quantization of Massive Symmetric Rank-Two Tensor in String Theory
• Scale and Conformal Invariance on (A)dS
• Massive spin-2 particles in a curved background via a nonsymmetric tensor
• Gauge Invariance and Equations of Motion for Closed String Modes
• Loop Variables and the (Free) Open String in a Curved Background
• Loop Variables with Chan-Paton Factors
• Stability analysis for new theories of massive spin-two particle and black hole entropy of new bigravity
• Loop Variables and Gauge Invariance in Closed Bosonic String Theory
• Gauge Invariant Exact Renormalization Group and Perfect Actions in the Open Bosonic String Theory
• Loop Variables and Gauge Invariant Exact Renormalization Group Equations for (Open) String Theory
• Linearized gravity as a gauge theory
• Gauge Invariant Action for the Open Bosonic String: Tachyon Action
• No-Go Theorems on Localization of Gravity around Higher Codimensional Branes in Noncompact Extra Dimensions
• Loop Variables and Gauge Invariant Exact Renormalization Group Equations for Closed String Theory
• Holomorphic Factorization and Renormalization Group in Closed String Theory
• Generation of effective massive Spin-2 fields through spontaneous symmetry breaking of scalar field
• Exact Renormalization Group and Loop Variables: A Background Independent Approach to String Theory
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
• Loop Variables and the Interacting Open String in a Curved Background
• Dynamical mass generation of spin-2 fields in de Sitter space for an $O(N)$ symmetric model at large $N$
• Gauge Invariant Action for the Open Bosonic String
• Covariant constraints of massive gravity in metric formulation
• Self-interacting charged massive spin two particles in Minkowski spacetime
• Massive mixed symmetry field dynamics in open bosonic string theory
• Geometrical effective actions for a partially massless spin-2 field
• A unique coupling of the massive spin-2 field to supergravity