BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields

Abstract

Using BRST-BV formulation of relativistic dynamics, we study arbitrary spin massive and massless fields propagating in flat space. Generating functions of gauge invariant off-shell cubic interaction vertices for mixed-symmetry and totally symmetric fields are obtained. For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives, which provide a classification of cubic interaction vertices for such fields. As by product, we present simple expressions for the Yang-Mills and gravitational interactions of massive totally symmetric arbitrary spin fields.

12 pages, LaTeX-2e

References in corpus (45)

• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• Spinning Conformal Correlators
• 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
• On higher spins and the tensionless limit of String Theory
• String Lessons for Higher-Spin Interactions
• 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 Vertices for Symmetric Higher-Spin Gauge Fields in $(A)d{S}_d$
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: I. General Formalism
• Gauge invariant Lagrangian formulation of higher spin massive bosonic field theory in AdS space
• A generating function for the cubic interactions of higher spin fields
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Cubic interactions of massless higher spins in (A)dS: metric-like approach
• Higher-Spin Interactions: four-point functions and beyond
• 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
• Constructing the Cubic Interaction Vertex of Higher Spin Gauge Fields
• Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
• 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
• On the cubic interactions of massive and partially-massless higher spins in (A)dS
• 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
• Unfolding Mixed-Symmetry Fields in AdS and the BMV Conjecture: II. Oscillator Realization
• Spin 3 cubic vertices in a frame-like formalism
• Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
• FV-type action for AdS(5) mixed-symmetry fields
• Gauge fields in (A)dS within the unfolded approach: algebraic aspects
• Spin three gauge theory revisited
• Toward frame-like gauge invariant formulation for massive mixed symmetry bosonic fields
• Unconstrained Higher Spins of Mixed Symmetry. II. Fermi Fields
• A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. I. Bosonic fields
• Interactions of Massless Higher Spin Fields From String Theory
• Massive Higher Spins from BRST and Tractors
• Parity violating vertices for spin-3 gauge fields
• General Lagrangian Formulation for Higher Spin Fields with Arbitrary Index Symmetry. 2. Fermionic fields
• Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
• Cubic interaction vertex of higher-spin fields with external electromagnetic field
• On electromagnetic interactions for massive mixed symmetry field
• Gravitational Couplings of Higher Spins from String Theory

Cited by in corpus (77)

• Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
• Elements of Vasiliev theory
• Generating functions of (partially-)massless higher-spin cubic interactions
• Maxwell-like Lagrangians for higher spins
• 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
• Cubic interactions of Maxwell-like higher spins
• On four-point interactions in massless higher spin theory in flat space
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
• Higher-Spin Theory and Space-Time Metamorphoses
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Continuous spin gauge field in (A)dS space
• Fermionic continuous spin gauge field in (A)dS space
• Continuous spin fields of mixed-symmetry type
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• Arbitrary spin conformal fields in (A)dS
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• Gravitational Interactions of Higher-Spin Fermions
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• BRST-BV approach to continuous-spin field
• Light-cone continuous-spin field in AdS space
• Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
• Cubic interactions of massless bosonic fields in three dimensions
• General Cubic Interacting Vertex for Massless Integer Higher Spin Fields
• Radial Reduction and Cubic Interaction for Higher Spins in (A)dS space
• Interacting massive and massless arbitrary spin fields in 4d flat space
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
• BRST invariant effective action of shadow fields, conformal fields, and AdS/CFT
• Vertex-Constraints in 3D Higher Spin Theories
• Comments on interactions in the SUSY models
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Cubic interactions of arbitrary spin fields in 3d flat space
• On a gauge-invariant deformation of a classical gauge-invariant theory
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• Mixed-symmetry fields in AdS(5), conformal fields, and AdS/CFT
• Cubic-interaction-induced deformations of higher-spin symmetries
• Constrained BRST- BFV Lagrangian formulations for Higher Spin Fields in Minkowski Spaces
• BRST-BFV and BRST-BV Descriptions for Bosonic Fields with Continuous Spin on $R^{1,d-1}$
• All spin-2 cubic vertices with two derivatives
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
• Factorization of cubic vertices involving three different higher spin fields
• Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
• BRST-BV Quantum Actions for Constrained Totally-Symmetric Integer HS Fields
• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• Hierarchy of Supersymmetric Higher Spin Connections
• BRST Analysis of the Supersymmetric Higher Spin Field Models
• BRST-BV approach to conformal fields
• Gravitational Properties of the Proca Field
• Consistent actions for massive particles interacting with electromagnetism and gravity
• Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
• BRST-BV approach for interacting higher spin fields
• Conformal totally symmetric arbitrary spin fermionic fields
• Constrained BRST-BFV and BRST-BV Lagrangians for half-integer HS fields on $R^{1,d-1}$
• Fermionic higher-spin triplets in AdS
• On the Fradkin-Vasiliev formalism in d=4
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Towards the structure of a cubic interaction vertex for massless integer higher spin fields
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Symmetric vs. chiral approaches to massive fields with spin
• Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence
• Fermi-Bose cubic couplings in light-cone field theories
• On equivalence of gauge-invariant models for massive integer-spin fields
• Consistent Lagrangians for irreducible interacting higher-spin fields with holonomic constraints
• Unconstrained Lagrangian Formulation for Bosonic Continuous Spin Theory in Flat Spacetime of Arbitrary Dimension
• Higher spin fields with reversed spin-statistics relation
• All actions for free massive higher-spin fields
• On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
• Lagrangian BRST formulation of massive higher spin fields of generic symmetry type
• Covariant Lagrangian Cubic Interaction Vertices For Irreducible Higher Spin Fields in Minkowski Backgrounds
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants
• A new higher-spin theory of supergravity in 2+1 dimensions
• On gauge-invariant deformation of reducible gauge theories
• Towards Lagrangian dynamics for constrained mixed-symmetric interacting higher-spin fields