（反）德西特时空（A）dS₄中的高自旋荷与L_Λ w_{1+∞}代数
Higher-spin charges and the $L_Λ w_{1 + \infty}$ algebra in (A)dS$_4$
AI总结：
该研究在（A）dS₄时空构造高自旋荷，证明其实现Λ形变w_{1+∞}代数，还构造共形软引力子的弯曲空间对应物，确立了该对称的体引力起源并扩展了体-边界字典。
AI中文摘要：
我们研究具有允许引力通量的边界条件的（3+1）维渐近局部（反）德西特（（A）dS₄）时空。我们构造了无穷多组高自旋荷，它们是爱因斯坦方程渐近展开产生的一系列演化方程在宇宙学常数Λ下的微扰解。我们证明这些荷在受限引力相空间上正则实现了Λ形变的w_{1+∞}代数（L_Λ w_{1+∞}），从而将渐近平直时空的高自旋对称结构扩展到渐近（A）dS时空。我们还直接利用时空数据构造了共形软引力子的弯曲空间对应物，证明它们是（A）dS₄等距李代数的𝔰𝔩(2,ℝ)子代数的主元，且它们与二次高自旋荷的泊松括号重现了Taylor和Zhu提出的Λ形变天体内积展开。我们的结果确立了L_Λ w_{1+∞}对称的体引力起源，并将天体物理的体-边界字典扩展到渐近（A）dS₄引力。
英文摘要：
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 $Λ$ to a hierarchy of evolution equations resulting from an asymptotic expansion of the Einstein equations. We show that these charges canonically realize the $Λ$-deformed $w_{1+\infty}$ algebra ($L_Λ w_{1+\infty}$) on a restricted gravitational phase space, thereby extending the higher-spin symmetry structure of asymptotically flat spacetimes to asymptotically (A)dS spacetimes. We further construct the curved-space counterparts of conformally soft gravitons directly in terms of spacetime data. We show that they are primaries with respect to an $\mathfrak{sl}(2,\mathbb{R})$ subalgebra of the (A)dS$_4$ isometry algebra and that their Poisson brackets with the quadratic higher-spin charges reproduce the $Λ$-deformed celestial operator product expansion proposed by Taylor and Zhu. Our results establish the bulk gravitational origin of the $L_Λw_{1+\infty}$ symmetry and extend the celestial bulk-boundary dictionary to asymptotically (A)dS$_4$ gravity.
