Bosonic Fradkin-Tseytlin equations unfolded. Irreducible case

Abstract

We factorize 4d Fradkin-Linetsky higher spin conformal algebra by maximal ideal $I^1-\alpha$ and construct irreducible infinite-dimensional modules $M_{\alpha }$ of 4d conformal algebra that are parameterized by real number $\alpha$. It is shown that independently of $\alpha$ unfolded system of equations corresponding to each $M_{\alpha }$ describes collection of Fradkin-Tseytlin equations for all spins $s=1,\dots ,\infty$ with zero multiplicity.

9 pages, references added

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