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Shifted homotopy analysis of the linearized higher-spin equations in arbitrary higher-spin background

Shifted homotopy analysis of the linearized higher-spin equations in arbitrary higher-spin background

Analysis of the first-order corrections to higher-spin equations is extended to homotopy operators involving shift parameters with respect to the spinor $Y$ variables, the argument of the higher-spin connection $\omega(Y)$ and the argument of the higher-spin zero-form $C(Y)$. It is shown that a relaxed uniform $(y+p)$-shift and a shift by …