Abelian N=2 cubic vertices (s,s1,s2) with minimal derivatives exist only for s ≥ s1+s2 and take the form of a prepotential coupled to a conserved supercurrent; for s1≠s2 the supercurrent is complex, generating one parity-even and one parity-odd interaction.
Cubic interaction vertices for massive and massless higher spin fields
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
Using the light-cone formulation of relativistic dynamics, we develop various methods for constructing cubic interaction vertices and apply these methods to the study of higher spin fields propagating in flat space of dimension greater than or equal to four. Generating functions of parity invariant cubic interaction vertices for massive and massless higher spin fields of arbitrary symmetry are obtained. We derive restrictions on the allowed values of spins and the number of derivatives, which provide a classification of cubic interaction vertices for totally symmetric fields. As an example of application of the light-cone formalism, we obtain simple expressions for the minimal Yang-Mills and gravitational interactions of massive totally symmetric arbitrary spin fields. We give the complete list of parity invariant and parity violating cubic interaction vertices that can be constructed for massless fields in five and six-dimensional spaces.
fields
hep-th 5years
2026 5representative citing papers
The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.
General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.
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Novel $\mathcal{N}=2$ higher-spin supercurrents
Abelian N=2 cubic vertices (s,s1,s2) with minimal derivatives exist only for s ≥ s1+s2 and take the form of a prepotential coupled to a conserved supercurrent; for s1≠s2 the supercurrent is complex, generating one parity-even and one parity-odd interaction.
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Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions
The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.
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General Lagrangian formulations for mixed-antisymmetric tensor fields on flat backgrounds
General unconstrained and constrained BRST Lagrangians for massless and massive mixed-antisymmetric integer higher-spin fields with k-column Young tableaux are derived via so(k,k) Verma-module conversion.
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Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS$_3$
Derives metric-like cubic vertices for massless bosonic higher-spin fields in AdS3 from flat-space ones via gauge invariance.
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BRST methods for constructing quartic actions for spinning black holes
A BRST formulation yields a single constraint per off-shell quartic vertex ensuring gauge invariance and associativity, with example solutions for low-spin cases in black hole scattering.