Current Exchanges for Reducible Higher Spin Multiplets and Gauge Fixing

Understand

We compute the current exchanges between triplets of higher spin fields which describe reducible representations of the Poincare group.

• Through this computation we can extract the propagator of the reducible higher spin fields which compose the triplet.
• We show how to decompose the triplet fields into irreducible HS fields which obey Fronsdal equations, and how to compute the current-current interaction for the cubic couplings which appear in ArXiv:0708.1399 [hep-th] using the decomposition into irreducible modes.
• We compare this result with the same computation using a gauge fixed (Feynman) version of the triplet Lagrangian which allows us to write very simple HS propagators for the triplet fields.