Light-Front Higher-Spin Theories in Flat Space

Abstract

We revisit the problem of interactions of higher-spin fields in flat space. We argue that all no-go theorems can be avoided by the light-cone approach, which results in more interaction vertices as compared to the usual covariant approaches. It is stressed that there exist two-derivative gravitational couplings of higher-spin fields. We show that some reincarnation of the equivalence principle still holds for higher-spin fields - the strength of gravitational interaction does not depend on spin. Moreover, it follows from the results by Metsaev that there exists a complete chiral higher-spin theory in four dimensions. We give a simple derivation of this theory and show that the four-point scattering amplitude vanishes. Also, we reconstruct the quartic vertex of the scalar field in the unitary higher-spin theory, which turns out to be perturbatively local.

26+Appendices=37 pages; one ref added

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• Chiral Higher Spin Theories and Self-Duality
• The Boostless Bootstrap: Amplitudes without Lorentz boosts
• More on Quantum Chiral Higher Spin Gravity
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
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• Light-cone gauge cubic interaction vertices for massless fields in AdS(4)
• Elementary particles with continuous spin
• Cubic interactions of Maxwell-like higher spins
• On four-point interactions in massless higher spin theory in flat space
• A Note on (Non)-Locality in Holographic Higher Spin Theories
• On matter-free Higher Spin Gravities in 3d: (partially)-massless fields and general structure
• Celestial chiral algebras, colour-kinematics duality and integrability
• Continuous spin gauge field in (A)dS space
• Fermionic continuous spin gauge field in (A)dS space
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• On Effective Field Theories with Celestial Duals
• Cubic interactions for arbitrary spin N-extended massless supermultiplets in 4d flat space
• On the Non-Local Obstruction to Interacting Higher Spins in Flat Space
• The Cosmological Bootstrap: Spinning Correlators from Symmetries and Factorization
• Conformal higher spin scattering amplitudes from twistor space
• Cubic interaction vertices for N=1 arbitrary spin massless supermultiplets in flat space
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• One-loop Finiteness of Chiral Higher Spin Gravity
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields
• Chiral approach to massive higher spins
• Basic introduction to higher-spin theories
• Interactions in Higher-Spin Gravity: a Holographic Perspective
• Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$
• Cubic interactions of massless bosonic fields in three dimensions
• Twistor Constructions for Higher-spin Extensions of (Self-dual) Yang-Mills
• Cubic Vertices for N=1 Supersymmetric Massless Higher Spin Fields in Various Dimensions
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• Interacting massive and massless arbitrary spin fields in 4d flat space
• Flat Self-dual Gravity
• More on Chiral Higher Spin Gravity and Convex Geometry
• Toward a twistor action for chiral higher-spin gravity
• Carrollian conformal scalar as flat-space singleton
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• Minimal models of field theories: Chiral Higher Spin Gravity
• Higher-spin Yang-Mills, amplitudes and self-duality
• Continuous-spin mixed-symmetry fields in AdS(5)
• Projectively-Compact Spinor Vertices and Space-Time Spin-Locality in Higher-Spin Theory
• Spinor-helicity variables for cosmological horizons in de Sitter space
• Minimal model of Chiral Higher Spin Gravity
• Supersymmetric Reducible Higher-Spin Multiplets in Various Dimensions
• Towards higher-spin holography in flat space
• Higher-spin gravity and torsion on quantized space-time in matrix models
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• On one loop corrections in higher spin gravity
• A Stringy theory in three dimensions and Massive Higher Spins
• Cubic interactions of arbitrary spin fields in 3d flat space
• Quartic locality of higher-spin gravity in de Sitter and Euclidean anti-de Sitter space
• Slightly Broken Higher Spin Symmetry: General Structure of Correlators
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• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions
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• On special quartic interaction of higher spin gauge fields with scalars and gauge symmetry commutator in the linear approximation
• Quantum field theories of arbitrary-spin massive multiplets and Palatini quantum gravity
• Supersymmetric Quantum Chiral Higher Spin Gravity
• Restrictions for $n$-Point Vertices in Higher-Spin Theories
• On BF-type higher-spin actions in two dimensions
• Minimal models of field theories: SDYM and SDGR
• Matter Couplings and Equivalence Principles for Soft Scalars
• Chiral Higher Spin Gravity
• Higher-spin gauge theories in three spacetime dimensions
• MHV amplitudes and BCFW recursion for Yang-Mills theory in the de Sitter static patch
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Off-shell higher-spin fields in $Ad{S}_4$ and external currents
• Constraining higher-spin S-matrices
• Chiral approach to partially-massless fields
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Unfolded Dynamics Approach and Quantum Field Theory
• Hidden sectors of Chern-Simons Matter theories and Exact Holography
• Hypergravity in five dimensions
• A note on higher-order vertices of higher-spin fields in flat and (A)dS space
• Infinite distances in multicritical CFTs and higher-spin holography
• Lorentz covariant form of extended higher-spin equations
• Light-front description of infinite spin fields in six-dimensional Minkowski space
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Deriving spin-1 quartic interaction vertices from closure of the Poincaré algebra
• Symmetric vs. chiral approaches to massive fields with spin
• General light-cone gauge approach to conformal fields and applications to scalar and vector fields
• Gauging the higher-spin-like symmetries by the Moyal product
• Towards Massless Sector of Tensionless Strings on $Ad{S}_5$
• HS in flat spacetime. YM-like models
• New diagrammatic framework for higher-spin gravity
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• Massless chiral fields in six dimensions
• HS Yang-Mills-like models: a review
• All actions for free massive higher-spin fields
• Higher-Spin Gauge Models in the BRST-antifield Formalism
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• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• Holographic coordinates
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• On-Shell Gauge Invariant Three-Point Amplitudes
• On Gluing CFT Correlators to Higher-Spin Amplitudes in AdS
• Chiral Higher Spin Gravity in (A)dS${}_4$ and secrets of Chern-Simons Matter Theories
• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes
• Aspects of Higher Spin Theories, Conformal Field Theories and Holography
• Antiquity, Dark Ages and Renaissance of Light-Front Higher Spin Theory