Manifest Duality for Partially Massless Higher Spins

Abstract

In four dimensions, partially massless fields of all spins and depths possess a duality invariance akin to electric-magnetic duality. We construct metric-like gauge invariant curvature tensors for partially massless fields of all integer spins and depths, and show how the partially massless equations of motion can be recovered from first order field equations and Bianchi identities for these curvatures. This formulation displays duality in its manifestly local and covariant form, in which it acts to interchange the field equations and Bianchi identities.

arXiv comment46 pages, 1 figure

References in corpus (49)

• U-duality and M-Theory
• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• On higher spins and the tensionless limit of String Theory
• Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
• Introduction to the Classical Theory of Higher Spins
• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• Null Propagation of Partially Massless Higher Spins in (A)dS and Cosmological Constant Speculations
• Free geometric equations for higher spins
• How massless are massless fields in $Ad{S}_d$
• Stability of Massive Cosmological Gravitons
• On the geometry of higher-spin gauge fields
• Duality in Gravity and Higher Spin Gauge Fields
• On geometric equations and duality for free higher spins
• Duality in linearized gravity
• Geometric Formulation for Partially Massless Fields
• Exotic tensor gauge theory and duality
• Higher order singletons, partially massless fields and their boundary values in the ambient approach
• On massive spin 2 interactions
• Tensor fields of mixed Young symmetry type and N-complexes
• Minimal Local Lagrangians for Higher-Spin Geometry
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• Generating functions of (partially-)massless higher-spin cubic interactions
• Constant Curvature Algebras and Higher Spin Action Generating Functions
• On Partially Massless Bimetric Gravity
• No-Go Theorems for Unitary and Interacting Partially Massless Spin-Two Fields
• Higher Derivative Gravity and Conformal Gravity From Bimetric and Partially Massless Bimetric Theory
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• Geometric Lagrangians for massive higher-spin fields
• Higher spin interactions with scalar matter on constant curvature spacetimes: conserved current and cubic coupling generating functions
• A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
• Radial Dimensional Reduction: (Anti) de Sitter Theories from Flat
• Gravitational Duality Transformations on (A)dS4
• Bimetric Theory and Partial Masslessness with Lanczos-Lovelock Terms in Arbitrary Dimensions
• Duality invariance of all free bosonic and fermionic gauge fields
• Gravitational duality near de Sitter space
• A non-linear extension of the spin-2 partially massless symmetry
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Higher Spin Conformal Geometry in Three Dimensions and Prepotentials for Higher Spin Gauge Fields
• No-go for Partially Massless Spin-2 Yang-Mills
• Rainbow Valley of Colored (Anti) de Sitter Gravity in Three Dimensions
• Extended Weyl Invariance in a Bimetric Model and Partial Masslessness
• Gravitational Electric-Magnetic Duality, Gauge Invariance and Twisted Self-Duality
• On Partially Massless Theory in 3 Dimensions
• Non-linear duality invariant partially massless models?
• Metric projective geometry, BGG detour complexes and partially massless gauge theories
• Duality invariance of $s\ge 3/2$ fermions in AdS

Cited by in corpus (23)

• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
• Linking the Singularities of Cosmological Correlators
• Partially Massless Fields During Inflation
• Shapes of gravity: Tensor non-Gaussianity and massive spin-2 fields
• Shift Symmetries in (Anti) de Sitter Space
• Partially Massless Higher-Spin Theory
• Duality-invariant (super)conformal higher-spin models
• A note on the representations of $\text{SO}(1,d+1)$
• Dynamical Edge Modes and Entanglement in Maxwell Theory
• Partially Massless Graviton on Beyond Einstein Spacetimes
• Looking for partially-massless gravity
• Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• A Compendium of Sphere Path Integrals
• Twisted self-duality for higher spin gauge fields and prepotentials
• Higher spin de Sitter quasinormal modes
• Kaluza-Klein Reduction of Massive and Partially Massless Spin-2 Fields
• $\mathcal{N}=2$ Supersymmetric Partially Massless Fields and Non-Unitary Superconformal Representations
• Impossible Symmetries and Conformal Gravity
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• A connection between linearized Gauss-Bonnet gravity and classical electrodynamics II: Complete dual formulation
• Real-time observables in de Sitter thermodynamics
• More on dual actions for massive spin-2 particles
• De Sitter Horizon Edge Partition Functions