论文标题
用于磁性视野的量子力学
A quantum mechanics for magnetic horizons
论文作者
论文摘要
We construct an $\mathcal{N}=2$ supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS$_4 \times S^6$, and Kaluza-Klein reducing on $S^2$ with a background that is dual to the asymptotics of static dyonic BPS black holes in广告$ _4 $。背景涉及量规通量的选择，我们通过对3D拓扑扭曲的索引（$ n $）进行的鞍点分析进行修复。有效的量子力学的地下变性重现了BPS黑洞的熵，我们预计其低洼频谱将包含有关近超级层层的信息。有趣的是，该模型具有大量统计分布的耦合，让人联想到SYK模型。
We construct an $\mathcal{N}=2$ supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS$_4 \times S^6$, and Kaluza-Klein reducing on $S^2$ with a background that is dual to the asymptotics of static dyonic BPS black holes in AdS$_4$. The background involves a choice of gauge fluxes, that we fix via a saddle-point analysis of the 3d topologically twisted index at large $N$. The ground-state degeneracy of the effective quantum mechanics reproduces the entropy of BPS black holes, and we expect its low-lying spectrum to contain information about near-extremal horizons. Interestingly, the model has a large number of statistically-distributed couplings, reminiscent of SYK models.
