Consistent interactions and involution

Abstract

Starting from the concept of involution of field equations, a universal method is proposed for constructing consistent interactions between the fields. The method equally well applies to the Lagrangian and non-Lagrangian equations and it is explicitly covariant. No auxiliary fields are introduced. The equations may have (or have no) gauge symmetry and/or second class constraints in Hamiltonian formalism, providing the theory admits a Hamiltonian description. In every case the method identifies all the consistent interactions.

Minor misprints corrected, to appear in JHEP

References in corpus (3)

• Proof of Consistency of Nonlinear Massive Gravity in the Stuckelberg Formulation
• On massive spin 2 interactions
• Higher-Spin Fermionic Gauge Fields and Their Electromagnetic Coupling

Cited by in corpus (31)

• Classical and quantum stability of higher-derivative dynamics
• Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space
• Higher-order theories of gravity: diagnosis, extraction and reformulation via non-metric extra degrees of freedom
• Consistent Non-Minimal Couplings of Massive Higher-Spin Particles
• Chiral approach to massive higher spins
• Consistent deformations of free massive field theories in the Stueckelberg formulation
• Dirac-Bergmann analysis and Degrees of Freedom of Coincident $f(Q)$-gravity
• On the gauge symmetries of Maxwell-like higher-spin Lagrangians
• Stable interactions in higher derivative field theories of derived type
• Higher derivative extensions of $3d$ Chern-Simons models: conservation laws and stability
• Higher-spin Yang-Mills, amplitudes and self-duality
• Weyl Action of Two-Column Mixed-Symmetry Field and Its Factorization Around (A)dS Space
• Stable interactions via proper deformations
• A Twistorial Description of the IKKT-Matrix Model
• Higher-Spin Modes in a Domain-Wall Universe
• Unfree gauge symmetry in the BV formalism
• Resonance and stability of higher derivative theories of derived type
• World sheets of spinning particles
• Hamiltonian constraints and unfree gauge symmetry
• Constraining higher-spin S-matrices
• Chiral approach to partially-massless fields
• Massive spin three-half field in a constant electromagnetic background
• Stable interactions between higher derivative extended Chern-Simons and charged scalar field
• General method for including Stueckelberg fields
• Symmetric vs. chiral approaches to massive fields with spin
• Dualisation of free fields
• Chiral effects in classical spinning gas
• Multiple choice of gauge generators and consistency of interactions
• Massless chiral fields in six dimensions
• All actions for free massive higher-spin fields
• A short note on dynamics and degrees of freedom in $2d$ classical gravity