Spinor helicity structures in higher spin theories

TL;DR

This paper reveals that in higher spin theories, the cubic interaction coefficients can be expressed simply using spinor helicity products, relating higher spin interactions to Yang-Mills theory through a power law.

Contribution

It demonstrates a universal simple form for cubic vertices in higher spin theories, linking them to Yang-Mills coefficients raised to the spin power, suggesting new perturbative connections.

Findings

Cubic interaction coefficients are proportional to Yang-Mills coefficients raised to the spin power.

The result is derived in four-dimensional flat spacetime.

Indicates potential perturbative relations similar to KLT between higher spins and Yang-Mills.

Abstract

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the corresponding Yang-Mills coefficient raised to the power $\lambda$. Among other things, this suggests perturbative ties, similar to the KLT relations, between higher spin theories and pure Yang-Mills. This result is obtained in four-dimensional flat spacetime.