Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds

Abstract

Cubic interactions between the simplest mixed-symmetry gauge field and gravity are constructed in anti-de Sitter (AdS) and flat backgrounds. Nonabelian cubic interactions are obtained in AdS following various perturbative methods including the Fradkin-Vasiliev construction, with and without Stueckelberg fields. The action that features the maximal number of Stueckelberg fields can be considered in the flat limit without loss of physical degrees of freedom. The resulting interactions in flat space are compared with a classification of vertices obtained via the antifield cohomological perturbative method. It is shown that the gauge algebra becomes abelian in the flat limit, in contrast to what happens for totally symmetric gauge fields in AdS.

37 pages, no figures; refs added, typos corrected

References in corpus (53)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Nonlinear higher spin theories in various dimensions
• Consistent couplings between fields with a gauge freedom and deformations of the master equation
• Cubic interaction vertices for massive and massless higher spin fields
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Inconsistency of interacting, multi-graviton theories
• On higher spins and the tensionless limit of String Theory
• String Lessons for Higher-Spin Interactions
• Higher Spin Gauge Theories in Various Dimensions
• How massless are massless fields in $Ad{S}_d$
• Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
• On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
• General trilinear interaction for arbitrary even higher spin gauge fields
• Cubic Interactions of Bosonic Higher Spin Gauge Fields in $Ad{S}_5$
• Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• On Massive High Spin Particles in (A)dS
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Doubletons and 5D Higher Spin Gauge Theory
• Consistent deformations of dual formulations of linearized gravity: A no-go result
• On the Frame-Like Formulation of Mixed-Symmetry Massless Fields in (A)dS(d)
• Frame-like gauge invariant formulation for massive high spin particles
• Tensor gauge fields in arbitrary representations of GL(D,R): II. Quadratic actions
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Unified BRST description of AdS gauge fields
• No Self-Interaction for Two-Column Massless Fields
• Unified BRST approach to (partially) massless and massive AdS fields of arbitrary symmetry type
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space
• Mixed-Symmetry Massless Fields in Minkowski space Unfolded
• Massless Poincare modules and gauge invariant equations
• Gauge fields in (anti)-de Sitter space and Connections of its symmetry algebra
• Gauge invariant Lagrangian construction for massive bosonic mixed symmetry higher spin fields
• Higher Spin Gauge Theories in Any Dimension
• FV-type action for AdS(5) mixed-symmetry fields
• Lagrangian Formulation for Free Mixed-Symmetry Bosonic Gauge Fields in (A)dS(d)
• Gauge fields in (A)dS within the unfolded approach: algebraic aspects
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Interacting Higher Spins and the High Energy Limit of the Bosonic String
• First Order Formalism for Mixed Symmetry Tensor Fields
• Two-column higher spin massless fields in AdS(d)
• Interactions of Massless Higher Spin Fields From String Theory
• Frame-like formulation for free mixed-symmetry bosonic massless higher-spin fields in AdS(d)
• Massive Higher Spins from BRST and Tractors
• Massive gauge-invariant field theories on spaces of constant curvature
• Towards frame-like gauge invariant formulation for massive mixed symmetry bosonic fields. II. General Young tableau with two rows
• Frame-like Actions for Massless Mixed-Symmetry Fields in Minkowski space. Fermions
• Consistent deformations of [p,p]-type gauge field theories
• Frame-like gauge invariant formulation for mixed symmetry fermionic fields
• Higher Spin Symmetries, Star-Product and Relativistic Equations in AdS Space
• Gravitational Couplings of Higher Spins from String Theory
• A String Model for AdS Gravity and Higher Spins
• On Lagrangian formulations for mixed-symmetry HS fields on AdS spaces within BFV-BRST approach

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• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Quantum de Sitter horizon entropy from quasicanonical bulk, edge, sphere and topological string partition functions
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• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• Off-shell massive N=1 supermultiplets in three dimensions
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Continuous spin fields of mixed-symmetry type
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Basic introduction to higher-spin theories
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Mixed-symmetry tensor conserved currents and AdS/CFT correspondence
• Type-B Formal Higher Spin Gravity
• Gravitational cubic interactions for a massive mixed symmetry gauge field
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Anomalous conformal currents, shadow fields and massive AdS fields
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• All spin-2 cubic vertices with two derivatives
• Action principles for higher and fractional spin gravities
• Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
• Hierarchy of Supersymmetric Higher Spin Connections
• Towards the Fradkin-Vasiliev formalism in three dimensions
• Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
• Conformal totally symmetric arbitrary spin fermionic fields
• Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Massless higher spin cubic vertices in flat four dimmensional space
• String Amplitudes and Frame-like Formalism for Higher Spins
• Massless chiral fields in six dimensions
• Non-Abelian tensor gauge fields and new topological invariants
• Massive two-column bosonic fields in the frame-like formalism
• Consistent interactions of Curtright fields
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets