Higher-spin charges and the $L_{\Lambda} w_{1 + \infty}$ algebra in (A)dS$_4$
We consider $(3+1)$-dimensional asymptotically locally (anti-)de Sitter ((A)dS$_4$) spacetimes with boundary conditions allowing for gravitational flux. We construct an infinite tower of higher-spin charges as perturbative solutions in the cosmological constant $\Lambda$ to a hierarchy of evolution equations resulting...