Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS

Abstract

We catalog all the electromagnetic-like dualities that exist between free dynamical bosonic fields of arbitrary symmetry type and mass on (anti-) de Sitter space in all dimensions, including dualities among the partially massless and shift symmetric fields. This generalizes to all these field types the well known fact that a massless $p$-form is dual to a massless $(D-p-2)$-form in $D$ spacetime dimensions. In the process, we describe the structure of the Weyl modules (the spaces of local operators linear in the fields and their derivative relations) for all the massive, partially massless and shift symmetric fields.

70 pages. v2 several statements corrected

References in corpus (91)

• The galileon as a local modification of gravity
• Theoretical Aspects of Massive Gravity
• Massive Gravity in Three Dimensions
• Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics
• Covariant Action for the Super-Five-Brane of M-Theory
• On Lorentz Invariant Actions for Chiral P-Forms
• Tensor gauge fields in arbitrary representations of GL(D,R) : duality & Poincare lemma
• Duality Symmetric Actions with Manifest Space-Time Symmetries
• How massless are massless fields in $Ad{S}_d$
• Cosmological Topologically Massive Gravitons and Photons
• Introductory Notes on Non-linear Electrodynamics and its Applications
• Symmetries for Galileons and DBI scalars on curved space
• Topologically Massive AdS Gravity
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• Duality in Gravity and Higher Spin Gauge Fields
• On geometric equations and duality for free higher spins
• Duality in linearized gravity
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Exotic tensor gauge theory and duality
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• On p-form gauge theories and their conformal limits
• Gauge invariant Lagrangian construction for massive bosonic higher spin fields in D dimentions
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• NOTE ON MANIFEST LORENTZ AND GENERAL COORDINATE INVARIANCE IN DUALITY SYMMETRIC MODELS.
• General Embedded Brane Effective Field Theories
• Frame-like gauge invariant formulation for massive high spin particles
• Top Down Approach to 6D SCFTs
• Frame-Like Action and Unfolded Formulation for Massive Higher-Spin Fields
• de Sitter Galileon
• A note on spin-s duality
• Unified BRST description of AdS gauge fields
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• Constant Curvature Algebras and Higher Spin Action Generating Functions
• Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
• Covariant Action for Type IIB Supergravity
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Elementary particles with continuous spin
• Self-dual forms: Action, Hamiltonian and Compactification
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• Gauge fields in (A)dS within the unfolded approach: algebraic aspects
• Shift Symmetries in (Anti) de Sitter Space
• On Covariant Actions for Chiral $p-$Forms
• Gravitational Duality Transformations on (A)dS4
• Quantum Equivalence of Massive Antisymmetric Tensor Field Models in Curved Space
• Quartet unconstrained formulation for massive higher spin fields
• Duality invariance of all free bosonic and fermionic gauge fields
• Group theoretical approach to quantum fields in de Sitter space II. The complementary and discrete series
• Gravitational duality near de Sitter space
• Three approaches to chiral form interactions
• Massive higher spin fields in the frame-like multispinor formalism
• PM = EM: Partially Massless Duality Invariance
• Manifest Duality Invariance for the Partially Massless Graviton
• Arbitrary spin massless bosonic fields in d-dimensional anti-de Sitter space
• Lagrangian formulation of massive fermionic totally antisymmetric tensor field theory in AdS_d space
• New Unfolded Higher Spin Systems in $Ad{S}_3$
• Self-Duality in Nonlinear Electromagnetism
• Manifest Duality for Partially Massless Higher Spins
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields
• Polynomial Duality-Symmetric Lagrangians for Free p-Forms
• Exceptional scalar theories in de Sitter space
• Gravitational Electric-Magnetic Duality, Gauge Invariance and Twisted Self-Duality
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• On Dual Formulation for Higher Spin Gauge Fields in $(A)d{S}_d$
• Duality for symmetric second rank tensors.(I): the massive case
• Spin-1 duality in $D$-dimensions
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• Duality invariant self-interactions of abelian p-forms in arbitrary dimensions
• On Dual Formulations of Massive Tensor Fields
• Dimensional reduction as a method to obtain dual theories for massive spin two in arbitray dimensions
• Dual Massive Gravity
• Democracy from topology
• A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
• Duality for massive spin two theories in arbitrary dimensions
• Effective actions for dual massive (super) p-forms
• Shift-Symmetric Spin-1 Theories
• Non-linear duality invariant partially massless models?
• Massive Dual Spinless Fields Revisited
• Duality invariance of $s\ge 3/2$ fermions in AdS
• Massive Dual Spin 2 Revisited
• Shift Symmetries for p-Forms and Mixed Symmetry Fields on (A)dS
• Massive Dual Gravity in N Spacetime Dimensions
• Spin-2 twisted duality in (A)dS
• Automorphic scalar fields in two-dimensional de Sitter space
• Fermionic Shift Symmetries in (Anti) de Sitter Space
• Canonical analysis of Kalb-Ramond-Proca duality
• Duality invariance in massive theories
• Massive two-column bosonic fields in the frame-like formalism
• More on dual actions for massive spin-2 particles
• Partially massless theory in three dimensions and self-dual massive gravity

Cited by in corpus (1)

• Hidden Conformal Symmetry of the Discrete Series Scalars in dS${}_2$