The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.
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Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.
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Structure of $\mathcal{N} = 2$ superfield higher-spin abelian cubic interactions
The structure of N=2 abelian cubic higher-spin vertices is fully determined by three analytic supercurrents, and odd-spin (s,1,1) gauge transformations reduce to supersymmetric zilch symmetries.
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Self-dual gravity from higher-spin theory
Self-dual gravity with cosmological constant emerges uniquely as the rigid lower-spin sector of four-dimensional higher-spin interactions when only self-dual vertices are kept.