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arXiv · 1905.11267

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

I. S. Degtev·M. A. Vasiliev
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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.

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I. S. Degtev, M. A. Vasiliev. 2019-08-22. Field Equations for the Simplest Multi-Particle Higher-Spin Systems. https://doi.org/10.1016/j.physletb.2019.134866

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