论文标题
超对称黑洞和sjt/nscft $ _1 \！$通讯
Supersymmetric Black Holes and the SJT/nSCFT$_1\!$ Correspondence
论文作者
论文摘要
我们考虑$ {\ cal n} = 2 $ ADS_4 $中的1/4 bps黑洞解决方案。近地平线几何形状为$ ads_2 \ times s^2 $，并增强了超对称性。在本文的第一部分中，我们选择了一个矩图，该图允许将此超级溶液嵌入使用超人的Sugra理论中。然后，我们在地平线上执行该理论的S波还原，并确定DiLATON多重组，并将其耦合到度量和重力波动。在第二部分中，我们与Euclidean Axial $ \ MATHCAL {N} =（2,2）$ JT超级重力一起使用，并展示如何以协变量扭曲的手性和抗手术多重的形式添加测量物。我们演示了如何将壳体作用减少到边界超空间。我们通过在JT理论中使用超级秒瓦尔兹式模式来比较理论并计算四点函数。
We consider 1/4 BPS black hole solutions of ${\cal N}=2$ gauged supergravity in $AdS_4$. The near horizon geometry is $AdS_2 \times S^2$ and supersymmetry is enhanced. In the first part of the paper we choose a moment map, which allows the embedding of this supergravity solution into a sugra theory with a hypermultiplet. We then perform the s-wave reduction of this theory at the horizon and determine the dilaton multiplet, which couples to both metric and gravitino fluctuations. In the second part we work with Euclidean axial $\mathcal{N}=(2,2)$ JT supergravity and show how to add gauged matter in form of covariantly twisted chiral and anti-chiral multiplets. We demonstrate how to reduce the on-shell action to boundary superspace. We compare both theories and calculate the fourpoint function by integrating out gravitons, gravitini and photons for the s-wave setting and by use of the Super-Schwarzian modes in the JT theory.
