论文标题
划分在挤压的七个spher和全息图上起作用
Partition functions on squashed seven-spheres and holography
论文作者
论文摘要
我们的论文提出了两个主要结果。首先，我们研究了渐近广告中欧几里得爱因斯坦重力的重新归一化的自由能，以及在壁球七个球体上的各种田野理论。在重力理论中，我们证明了缺乏鹰页面的过渡，而在现场理论中，我们专注于O（$ n $）向量模型和无质量的自由费米昂模型。共形对称性控制着大小壁球的自由能的普遍行为，我们在数值和分析上确认。其次，我们评估了CFT自由能相对于壁板参数的二阶导数，找到了对通用保形场理论的普遍结果。我们检查了两个不同的南瓜，一个带有su（2）束的束缚，这是我们纸的主要焦点，另一个带有U（1）束的束缚，我们的结果与文献中重力侧的猜想公式保持一致。
Our paper presents two main results. First, we study the renormalized free energies of Euclidean Einstein gravity in asymptotically AdS$_8$ and various field theories on a squashed seven sphere. In the gravity theory, we demonstrate the absence of the Hawking-Page transition, while in the field theory, we focus on the O($N$) vector model and the massless free fermion model. The conformal symmetry governs the universal behaviors of the free energies for small and large squashings, which we confirm numerically and analytically. Second, we evaluate the second-order derivative of CFT free energy with respect to the squashing parameter, finding universal results that hold for generic conformal field theories. We examine two different squashings, one with an SU(2) bundle, which is the primary focus of our paper, and another with a U(1) bundle, where our results align with the conjectured formula from the gravity side in the literature.
