Deriving spin-1 quartic interaction vertices from closure of the Poincaré algebra

Abstract

We derive the quartic interaction vertex of pure Yang-Mills theory by demanding closure of the light-cone Poincaré algebra in four-dimensional Minkowski spacetime. This calculation explicitly shows why structure constants must satisfy the Jacobi identity. We then prove that corrections to the spin generator, for spin one at this order, vanish. We comment briefly on higher spin fields in this context.

arXiv comment10 pages. v2: minor changes, references added

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Cited by in corpus (4)

• Chiral Higher Spin Theories and Self-Duality
• Higher spins, quadratic forms and amplitudes
• The structure of interaction vertices in pure gravity in the light-cone gauge
• Towards a tensionless string field theory for the N=(2,0) CFT in d=6