Factorization of cubic vertices involving three different higher spin fields

Abstract

We derive a class of cubic interaction vertices for three higher spin fields, with integer spins ${\lambda }_1$, ${\lambda }_2$, ${\lambda }_3$, by closing commutators of the Poincaré algebra in four-dimensional flat spacetime. We find that these vertices exhibit an interesting factorization property which allows us to identify off-shell perturbative relations between them.

7 pages

References in corpus (9)

• Consistency Conditions on the S-Matrix of Massless Particles
• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• Gravity and Yang-Mills Amplitude Relations
• Universal Limits on Massless High-Spin Particles
• BRST-BV approach to cubic interaction vertices for massive and massless higher-spin fields
• KLT relations from the Einstein-Hilbert Lagrangian
• Structure of Higher Spin Gauge Interactions
• Gravity and Yang-Mills theory
• Monodromy and Kawai-Lewellen-Tye Relations for Gravity Amplitudes