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

I. S. Degtev; M. A. Vasiliev

doi:10.1016/j.physletb.2019.134866

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

High Energy Physics - Theory 2019-10-02 v2

Authors: 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.

Keywords

higher spin theory spin chains

Cite

@article{arxiv.1905.11267,
  title  = {Field Equations for the Simplest Multi-Particle Higher-Spin Systems},
  author = {I. S. Degtev and M. A. Vasiliev},
  journal= {arXiv preprint arXiv:1905.11267},
  year   = {2019}
}

Comments

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

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

Abstract

Keywords

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