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Oleg Shaynkman

Publications and source records attributed to Oleg Shaynkman.

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Bosonic Fradkin-Tseytlin equations unfolded. Irreducible case

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

hep-th

Bosonic Fradkin-Tseytlin equations unfolded

We test infinite-dimensional extension of algebra su(k,k) proposed by Fradkin and Linetsky as the candidate for conformal higher spin algebra. Adjoint and twisted-adjoint representations of su(k,k) on the space of this algebra are carefully explored. For k=2 corresponding unfolded system is analyzed and it is shown to encode Fradkin-Tseytlin equations for the set of all integer spins 1,2,... with infinite multiplicity.

hep-th