Field Equations for the Simplest Multi-Particle Higher-Spin Systems

I. S. Degtev; M. A. Vasiliev

doi:10.1016/j.physletb.2019.134866

paper

Field Equations for the Simplest Multi-Particle Higher-Spin Systems

arXiv:1905.11267 · doi:10.1016/j.physletb.2019.134866

Abstract

We derive the product law for the simplest multi-particle higher-spin algebra $M_{2} (A)$ and its factor-algebra $M^{2} (A)$ with rank-one fields factored out. Equations of motion for the systems resulting from these algebras are analysed. We conclude that the equations for $M_{2} (A)$ describe the conformal off-shell higher-spin system with the rank-two fields representing the off-shell degrees of freedom of the originally massless system. On the other hand the equations resulting from $M^{2} (A)$ describe the infinite system of conserved currents unrelated to massless fields.

15 pages, no figures, V2: details on the Klein operators in the multi-particle algebra added, typos corrected. To be published version