标题： 超对称电荷约束来自自由场的AdS黑洞 显示英文标题

标题： Supersymmetric Charge Constraints on AdS Black Holes from Free Fields

摘要： 超对称AdS黑洞解只有当它们的角动量和电荷满足某种依赖于维度的约束时才存在。 我们证明这些守恒电荷上的非线性关系与对偶超对称CFT在其自由极限中的计算一致，相互作用仅通过所有电荷的统一缩放进入。 我们的计算适用于AdS$_4$、AdS$_5$和AdS$_7$黑洞的高度非平凡的电荷约束，并推广了先前针对AdS$_3$中类似约束的计算。 我们的结果表明，在超对称指标范围之外，对AdS黑洞有了微观理解。 显示英文摘要

摘要： Supersymmetric AdS black hole solutions exist only when their angular momenta and charges satisfy a certain constraint that depends on the dimension. We show that these nonlinear relations on the conserved charges agree with a computation in the dual supersymmetric CFT in its free limit, with interactions entering only through a uniform rescaling of all charges. Our computations apply to the highly non-trivial charge constraints for AdS$_4$, AdS$_5$ and AdS$_7$ black holes, and generalize an earlier one for the analogous constraint in AdS$_3$. Our results suggest a microscopic understanding of AdS black holes beyond the scope of supersymmetric indices.