Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.
Higher Spin — CFT Duality
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abstract
In these lectures we give an overview of the duality between gravitational theories of massless higher spin fields in AdS and large N vector models. We first review the original higher spin/vector model duality conjectured by Klebanov and Polyakov, and then discuss its generalizations involving vector models coupled to Chern-Simons gauge fields. We proceed to review some aspects of the theory of massless higher spins, starting with the Fronsdal equations for free fields and moving on to the fully non-linear Vasiliev equations in four dimensions. We end by reviewing some recent tests of the higher spin/vector model duality at the level of correlation functions and one-loop partition functions.
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Differential and total cross sections are obtained for fermion-fermion scattering in the Rarita-Schwinger model with Yukawa-like coupling at zero and finite temperatures, in both short-range and long-range limits.
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Topological Fields in $4d$ Higher Spin Theory
Topological fields in 4d higher spin theory have a finite number of degrees of freedom and admit a gauge-invariant cubic action for interactions with physical higher spin fields.
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Fermion-fermion scattering in a Rarita-Schwinger model with Yukawa-like interaction
Differential and total cross sections are obtained for fermion-fermion scattering in the Rarita-Schwinger model with Yukawa-like coupling at zero and finite temperatures, in both short-range and long-range limits.