Cubic interaction vertices for fermionic and bosonic arbitrary spin fields
arXiv:0712.3526 · doi:10.1016/j.nuclphysb.2012.01.022
Abstract
Using the light-cone gauge approach to relativistic field dynamics, we study arbitrary spin fermionic and bosonic fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic interaction vertices for totally symmetric and mixed-symmetry massive and massless fields are obtained. For the case of totally symmetric fields, we derive restrictions on the allowed values of spins and the number of derivatives. These restrictions provide a complete classification of parity invariant cubic interaction vertices for totally symmetric fermionic and bosonic fields. As an example of application of the light-cone formalism, we obtain simple expressions for the Yang-Mills and gravitational interactions of massive arbitrary spin fermionic fields. For some particular cases, using our light-cone cubic vertices, we discuss the corresponding manifestly Lorentz invariant and on-shell gauge invariant cubic vertices.
57 pages, LaTeX-2e. v2: Results and conclusions of version v1 unchanged. New results for cubic vertices of mixed-symmetry fields added. Appendix A fully rewritten. Typos corrected. References added. arXiv admin note: significant text overlap with arXiv:hep-th/0512342
References in corpus (21)
- Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
- 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
- String Lessons for Higher-Spin Interactions
- Cubic Vertices for Symmetric Higher-Spin Gauge Fields in
- A generating function for the cubic interactions of higher spin fields
- Cubic interactions of massless higher spins in (A)dS: metric-like approach
- Gauge invariant formulation of massive totally symmetric fermionic fields in (A)dS space
- Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
- Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
- Higher-Spin Gauge Fields Interacting with Scalars: The Lagrangian Cubic Vertex
- Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
- FV-type action for AdS(5) mixed-symmetry fields
- A Model Independent Ultraviolet Cutoff for Theories with Charged Massive Higher Spin Fields
- Off-shell construction of some trilinear higher spin gauge field interactions
- Gravitational and higher-derivative interactions of massive spin 5/2 field in (A)dS space
- Higher Spins and Open Strings: Quartic Interactions
- An action principle for Vasiliev's four-dimensional higher-spin gravity
- Gravitational Couplings of Higher Spins from String Theory
- A dual lagrangian for non-Abelian tensor gauge fields
- String/Flux Tube Duality on the Lightcone
Cited by in corpus (131)
- How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
- Gauge Invariant Lagrangians for Free and Interacting Higher Spin Fields. A Review of the BRST formulation
- Light-Front Higher-Spin Theories in Flat Space
- On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory
- General trilinear interaction for arbitrary even higher spin gauge fields
- A generating function for the cubic interactions of higher spin fields
- Cubic interactions of massless higher spins in (A)dS: metric-like approach
- Higher-Spin Interactions: four-point functions and beyond
- Spinor-Helicity Three-Point Amplitudes from Local Cubic Interactions
- BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
- Compton Black-Hole Scattering for
- Unconstrained Higher Spins of Mixed Symmetry. I. Bose Fields
- Elements of Vasiliev theory
- On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
- Higher-spin massless S-matrices in four-dimensions
- Higher-spin algebras and cubic interactions for simple mixed-symmetry fields in AdS spacetime
- More on Quantum Chiral Higher Spin Gravity
- On the cubic interactions of massive and partially-massless higher spins in (A)dS
- A Fiber Approach to Harmonic Analysis of Unfolded Higher-Spin Field Equations
- Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex
- Mixed-Symmetry Massless Fields in Minkowski space Unfolded
- 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
- Spin 3 cubic vertices in a frame-like formalism
- Cubic interactions of Maxwell-like higher spins
- FV-type action for AdS(5) mixed-symmetry fields
- Gravitational cubic interactions for a simple mixed-symmetry gauge field in AdS and flat backgrounds
- Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling
- Continuous spin gauge field in (A)dS space
- Ordinary-derivative formulation of conformal totally symmetric arbitrary spin bosonic fields
- Direct construction of a cubic selfinteraction for higher spin gauge fields
- Fermionic continuous spin gauge field in (A)dS space
- Carrollian and Galilean conformal higher-spin algebras in any dimensions
- Superconformal symmetry and maximal supergravity in various dimensions
- Interactions of Massless Higher Spin Fields From String Theory
- Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
- Off-shell construction of some trilinear higher spin gauge field interactions
- Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
- Conformal higher spin scattering amplitudes from twistor space
- Gravitational Interactions of Higher-Spin Fermions
- Homotopy Properties and Lower-Order Vertices in Higher-Spin Equations
- Cubic interaction vertex of higher-spin fields with external electromagnetic field
- Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
- Chiral approach to massive higher spins
- Basic introduction to higher-spin theories
- Massive spin-2 in the Fradkin-Vasiliev formalism. I. Partially massless case
- Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
- Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions
- Interaction of supersymmetric nonlinear sigma models with external higher spin superfields via higher spin supercurrents
- 4D Higher Spin Black Holes with Nonlinear Scalar Fluctuations
- 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 higher spin gauge superfields
- Spinor helicity structures in higher spin theories
- Looking for partially-massless gravity
- Cubic interaction vertices for massless higher spin supermultiplets in d=4
- Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory
- Continuous-spin mixed-symmetry fields in AdS(5)
- Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields
- A Calculus for Higher Spin Interactions
- Integer superspin supercurrents of matter supermultiplets
- Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
- Perturbative and Non-Perturbative Aspects in Vector Model/Higher Spin Duality
- Topological mass generation in four-dimensional gauge theory
- A Riccati type PDE for light-front higher helicity vertices
- Cubic interactions of arbitrary spin fields in 3d flat space
- 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
- A String Model for AdS Gravity and Higher Spins
- A note on unfree gauge symmetry
- On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
- All spin-2 cubic vertices with two derivatives
- Massive Higher Spin Fields Coupled to a Scalar: Aspects of Interaction and Causality
- Cubic Interaction for Higher Spins in space in the explicit covariant form
- Quartic interaction vertex in the massive integer higher spin field theory in a constant electromagnetic field
- Bilinear Fronsdal currents in the higher-spin theory
- Note on Gauge Invariance and Causal Propagation
- Factorization of cubic vertices involving three different higher spin fields
- Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians
- On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields
- Cubic interactions of d4 irreducible massless higher spin fields within BRST approach
- Lagrangian formulation of massive fermionic higher spin fields on a constant electromagnetic background
- Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
- Hierarchy of Supersymmetric Higher Spin Connections
- On massive super(bi)gravity in the constructive approach
- Light-cone gauge approach to arbitrary spin fields, currents, and shadows
- Aspects of Higher-Spin Theory with Fermions
- Analytic meronic black holes, gravitating solitons and higher spins in the Einstein -Yang-Mills theory
- Massive spin three-half field in a constant electromagnetic background
- On the Fradkin-Vasiliev formalism in d=4
- Formalism of gauge invariant curvatures and constructing the cubic vertices for massive spin-3/2 field in AdS_4 space
- Lorentz covariant form of extended higher-spin equations
- Conformal totally symmetric arbitrary spin fermionic fields
- Fermionic higher-spin triplets in AdS
- Towards the structure of a cubic interaction vertex for massless integer higher spin fields
- Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields
- Higher Spins and Current Exchanges
- Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
- Higher spins, quadratic forms and amplitudes
- Cubic interaction vertices in higher spin theories
- On correlation functions of higher-spin currents in arbitrary dimensions
- Symmetric vs. chiral approaches to massive fields with spin
- Fermi-Bose cubic couplings in light-cone field theories
- Unconstrained higher-spin gauge superfields and their hypermultiplet couplings
- String Amplitudes and Frame-like Formalism for Higher Spins
- Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
- Massless higher spin cubic vertices in flat four dimmensional space
- Gauge Invariant Lagrangian Formulations for Mixed Symmetry Higher Spin Bosonic Fields in AdS Spaces
- General light-cone gauge approach to conformal fields and applications to scalar and vector fields
- HS in flat spacetime. YM-like models
- Tensor gauge boson production in high energy collisions
- Higher Spin Holography and AdS String Sigma-Model
- Higher-Spin Gauge Models in the BRST-antifield Formalism
- On massive spin-2 in the Fradkin-Vasiliev formalism. II. General massive case
- On Interacting Higher Spin Bosonic Gauge Fields in BRST-antifield Formalism
- Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
- Higher spin fields with reversed spin-statistics relation
- Production of Spin-Two Gauge Bosons
- All actions for free massive higher-spin fields
- Higher Spin Contributions to Holographic Fluid Dynamics in
- Higher spin interactions: cubic deformations on Minkowski and (Anti)de Sitter backgrounds
- Local cubic vertex functions for three massless higher even spin fields on spaces AdS_D: An analytic approach
- Constructive approach to solution of the conservation condition for conformal higher spin tree-point correlation function with equal spins
- Towards Lagrangian dynamics for constrained mixed-symmetric interacting higher-spin fields
- Higher-Spin Quartic Vertices in AdS5 : a Rectangular Limit
- Antiquity, Dark Ages and Renaissance of Light-Front Higher Spin Theory
- Diagonalization Procedure for Reducible Massless N=1 Supermultiplets
- Novel higher-spin supercurrents