Abstract
We test infinite-dimensional extension of algebra \( \mathfrak{s}\mathfrak{u}\left(k,\;k\right) \) proposed by Fradkin and Linetsky as the candidate for conformal higher spin algebra. Adjoint and twistedadjoint representations of \( \mathfrak{s}\mathfrak{u}\left(k,\;k\right) \) 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.
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Shaynkman, O.V. Bosonic Fradkin-Tseytlin equations unfolded. J. High Energ. Phys. 2016, 118 (2016). https://doi.org/10.1007/JHEP12(2016)118
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DOI: https://doi.org/10.1007/JHEP12(2016)118