Dual actions for massless, partially-massless and massive gravitons in (A)dS

Abstract

We provide a unified treatment of electric-magnetic duality, at the action level and with manifest Lorentz invariance, for massive, massless as well as partially-massless gravitons propagating in maximally symmetric spacetimes of any dimension n>3. For massive and massless fields, we complete previous analyses that use parent-action techniques by giving dual descriptions that enable direct counting of physical degrees of freedom in the flat and massless limit. The same treatment is extended to the partially-massless case, where the duality has been previously discussed in covariant form only at the level of the equations of motion. The nature of the dual graviton is therefore clarified for all values of the mass and of the cosmological constant.

arXiv comment6 pages. A reference added

References in corpus (34)

• E_11 and M Theory
• xTras: a field-theory inspired xAct package for Mathematica
• How massless are massless fields in $Ad{S}_d$
• Duality in linearized gravity
• Geometric Formulation for Partially Massless Fields
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Strongly Coupled Gravity and Duality
• Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
• On massive spin 2 interactions
• Frame-like gauge invariant formulation for massive high spin particles
• A note on spin-s duality
• Unified BRST description of AdS gauge fields
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Monopoles for Gravitation and for Higher Spin Fields
• Gravitational Duality Transformations on (A)dS4
• Non-linear parent action and dual gravity
• PM = EM: Partially Massless Duality Invariance
• Manifest Duality Invariance for the Partially Massless Graviton
• Manifest spin 2 duality with electric and magnetic sources
• Massless spin-two field S-duality
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• Twisted Self-Duality for Linearized Gravity in D dimensions
• On Dual Formulation for Higher Spin Gauge Fields in $(A)d{S}_d$
• Partially Massless Monopoles and Charges
• Twisted self-duality for higher spin gauge fields and prepotentials
• On Dual Formulations of Massive Tensor Fields
• On Dual Formulation of Gravity
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
• Duality for massive spin two theories in arbitrary dimensions
• A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
• Non-linear duality invariant partially massless models?
• A deformation of the Curtright action
• Duality and integrability: Electromagnetism, linearized gravity and massless higher spin gauge fields as bi-Hamiltonian systems
• Electric-magnetic duality in linearized Hořava-Lifshitz gravity

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• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Three-dimensional conformal geometry and prepotentials for four-dimensional fermionic higher-spin fields
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Spin-2 twisted duality in (A)dS
• Prepotentials for linearized supergravity
• Canonical analysis of Kalb-Ramond-Proca duality
• Cubic interactions for massless and partially massless spin-1 and spin-2 fields
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• More on dual actions for massive spin-2 particles
• Aspects of electric-magnetic dualities in maximal supergravity
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions
• Dualized Gravity beyond Linear Approximation