Cubic interactions of arbitrary spin fields in 3d flat space

Abstract

Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and one-half spin) fields in three-dimensional flat space are considered. Both the integer spin and half-integer spin fields are studied. For such fields, we provide classification for cubic interactions and obtain explicit expressions for all cubic interaction vertices. We study two forms of the cubic interaction vertices which we refer to as first-derivative form and higher-derivative form. All cubic interaction vertices are built by using the first-derivative form.

arXiv comment33 pages. v2: New simple higher-derivative representations for some vertices and clarifying remarks added. Appendix B and references added

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• A Stringy theory in three dimensions and Massive Higher Spins
• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Closed Strings and Weak Gravity from Higher-Spin Causality
• Supersymmetric Quantum Chiral Higher Spin Gravity
• Covariant Cubic Interacting Vertices for Massless and Massive Integer Higher Spin Fields
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• On massive higher spins in d=3
• Massless spin 2 interacting with massive higher spins in d=3
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• Unfolded Fierz-Pauli Equations in Three-Dimensional Asymptotically Flat Spacetimes
• On higher spin cubic interactions in d=3
• Diagonalization Procedure for Reducible Massless N=1 Supermultiplets