Bosonic Fradkin-Tseytlin equations unfolded

Understand

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.