A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.
Induced action for superconformal higher-spin multiplets using SCFT techniques
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abstract
Recently, the interacting $\mathcal{N}=1$ superconformal higher-spin theory in four dimensions has been proposed within the induced action approach. In this paper we initiate a program of computing perturbative corrections to the corresponding action and explicitly evaluate all quadratic terms. This is achieved by employing standard techniques from superconformal field theory.
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Scalar Field on a higher-spin Background via Fedosov quantization
A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.