Spinor helicity structures in higher spin theories

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.

5 pages. v2: minor changes, references added

References in corpus (5)

• On the Tensionless Limit of String theory, Off - Shell Higher Spin Interaction Vertices and BCFW Recursion Relations
• On the Structure of Quartic Vertices for Massless Higher Spin Fields on Minkowski Background
• KLT relations from the Einstein-Hilbert Lagrangian
• Gravity and Yang-Mills theory
• On Tensorial Spaces and BCFW Recursion Relations for Higher Spin Fields

Cited by in corpus (21)

• Light-Front Higher-Spin Theories in Flat Space
• Quantum Chiral Higher Spin Gravity
• Chiral Higher Spin Theories and Self-Duality
• More on Quantum Chiral Higher Spin Gravity
• Higher-Spin Algebras, Holography and Flat Space
• Conformal higher spin scattering amplitudes from twistor space
• One-loop Finiteness of Chiral Higher Spin Gravity
• Off-Shell Spinor-Helicity Amplitudes from Light-Cone Deformation Procedure
• Basic introduction to higher-spin theories
• Spinor-Helicity Formalism for Massless Fields in AdS${}_4$ II: Potentials
• Investigations into Light-front Quartic Interactions for Massless Fields (I): Non-constructibility of Higher Spin Quartic Amplitudes
• A Riccati type PDE for light-front higher helicity vertices
• Yang-Mills theories and quadratic forms
• BMS algebra from residual gauge invariance in light-cone gravity
• Residual gauge symmetry in light-cone electromagnetism
• 3d conformal fields with manifest $sl(2,\mathbb{C})$
• Higher spins, quadratic forms and amplitudes
• Cubic interaction vertices in higher spin theories
• Fermi-Bose cubic couplings in light-cone field theories
• BMS symmetry in gravity: Front form versus Instant form
• Nicolai maps and uniqueness in the light-cone gauge