A note on spin-s duality

Abstract

Duality is investigated for higher spin ($s\ge 2$), free, massless, bosonic gauge fields. We show how the dual formulations can be derived from a common "parent", first-order action. This goes beyond most of the previous treatments where higher-spin duality was investigated at the level of the equations of motion only. In D=4 spacetime dimensions, the dual theories turn out to be described by the same Pauli-Fierz (s=2) or Fronsdal ($s\ge 3$) action (as it is the case for spin 1). In the particular s=2 D=5 case, the Pauli-Fierz action and the Curtright action are shown to be related through duality. A crucial ingredient of the analysis is given by the first-order, gauge-like, reformulation of higher spin theories due to Vasiliev.

Minor corrections, reference added

References in corpus (16)

• E_11 and M Theory
• U-duality and M-Theory
• E10 and a "small tension expansion" of M Theory
• Local BRST cohomology in the antifield formalism: I. General theorems
• Dualisation of Dualities, II: Twisted self-duality of doubled fields and superdualities
• Free geometric equations for higher spins
• 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
• Exotic tensor gauge theory and duality
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
• On the mixed symmetry irreducible representations of the Poincare group in the BRST approach
• Borcherds symmetries in M-theory
• Real Borcherds Superalgebras and M-theory
• Dual theories for mixed symmetry fields. Spin-two case: (1,1) versus (2,1) Young symmetry type fields

Cited by in corpus (69)

• Duality in linearized gravity
• Spacelike Singularities and Hidden Symmetries of Gravity
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Dynamics of Higher Spin Fields and Tensorial Space
• Massless Poincare modules and gauge invariant equations
• Monopoles for Gravitation and for Higher Spin Fields
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Two-column higher spin massless fields in AdS(d)
• Gravitational Duality Transformations on (A)dS4
• Beyond E11
• Duality invariance of all free bosonic and fermionic gauge fields
• Non-linear parent action and dual gravity
• Generalised geometry from the ground up
• BRST approach to Lagrangian formulation for mixed-symmetry fermionic higher-spin fields
• Consistent deformations of [p,p]-type gauge field theories
• Duality-invariant (super)conformal higher-spin models
• A master exceptional field theory
• Dual Double Field Theory
• Manifest Duality Invariance for the Partially Massless Graviton
• Off-Shell Hodge Dualities in Linearised Gravity and E11
• Linear connections with propagating spin-3 field in gravity
• Why not a di-NUT? or Gravitational duality and rotating solutions
• Interactions of a massless tensor field with the mixed symmetry of the Riemann tensor. No-go results
• A Higgs Mechanism for Gravity. Part II: Higher Spin Connections
• On Dual Formulation for Higher Spin Gauge Fields in $(A)d{S}_d$
• Twisted Self-Duality for Linearized Gravity in D dimensions
• Partially Massless Monopoles and Charges
• Dual actions for massless, partially-massless and massive gravitons in (A)dS
• 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
• Dual Massive Gravity
• A note about a pure spin-connection formulation of General Relativity and spin-2 duality in (A)dS
• Dual Linearised Gravity in Arbitrary Dimensions
• A note on the double dual graviton
• Couplings between a single massless tensor field with the mixed symmetry (3,1) and one vector field
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• No cross-interactions among different tensor fields with the mixed symmetry (3,1) intermediated by a vector field
• Duality family of scalar field
• Interactions between a massless tensor field with the mixed symmetry of the Riemann tensor and a massless vector field
• E11 and the non-linear dual graviton
• On the different formulations of the E11 equations of motion
• The dual graviton in duality covariant theories
• Sources for Generalized Gauge Fields
• A unified approach to standard and exotic dualizations through graded geometry
• Relation between standard and exotic duals of differential forms
• Higher spins from exotic dualisations
• Spin-2 twisted duality in (A)dS
• Prepotentials for linearized supergravity
• Dual linearized gravity in D=6 coupled to a purely spin-two field of mixed symmetry (2,2)
• Duality and higher Buscher rules in p-form gauge theory and linearized gravity
• Nonuniqueness of the Fierz-Pauli mass term for a nonsymmetic tensor
• Duality, generalized global symmetries and jet space isometries
• Higher dualisations of linearised gravity and the $A_1^{+++}$ algebra
• S-Dual Gravity in the Axial Gauge
• Dualisation of free fields
• Dualities Among Massive, Partially Massless and Shift Symmetric Fields on (A)dS
• Duality invariance in massive theories
• Unfolding $E_{11}$
• Rich gauge structures from an unitary approach of some massless gauge fields of spins one and two
• Massless chiral fields in six dimensions
• Consistency Conditions for $p$-Form Fields Localization on Codimension two Braneworlds
• Electric-magnetic duality in linearized Hořava-Lifshitz gravity
• Color decorations of Jackiw-Teitelboim gravity
• Self-dual models in $D=2+1$ from dimensional reduction
• Duality as a Method to Derive a Gauge Invariant Massive Electrodynamics and New Interactions
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets
• Dualized Gravity beyond Linear Approximation