On universality of holographic results for (2 + 1)-dimensional CFTs on curved spacetimes
On universality of holographic results for (2 + 1)-dimensional CFTs on curved spacetimes
复制标题
弯曲时空上 (2 1) 维 CFT 全息结果的普适性
DOI：
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发表时间：
2017
影响因子：
5.4
通讯作者：
T. Wiseman
中科院分区：
文献类型：
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作者：
S. Fischetti;T. Wiseman
全息CFTs的行为受到体对偶几何存在的约束。例如，在（2 + 1）维全息CFT中，真空能量必须是非正的，某些平均能量密度必须是非正的，标量算子的谱从下面由CFT几何的里奇标量限定。这些结果是全息cft所特有的吗？这里我们表明，对于适当背景的扰动，它们实际上是所有cft的普适性，因为它们遵循已知算子的两点和三点相关器的普适性。在真空能的情况下，我们从摄动状态中延伸出来，对其在空间几何空间上的负性性质作了全局陈述。最后，我们评论了耗散和由这种真空能量驱动的动力学的含义，我们评论了欧几里得配分函数在平坦空间或圆球变形中的行为的类似结果。
The behavior of holographic CFTs is constrained by the existence of a bulk dual geometry. For example, in (2 + 1)-dimensional holographic CFTs living on a static space-time with compact spatial slices, the vacuum energy must be nonpositive, certain averaged energy densities must be nonpositive, and the spectrum of scalar operators is bounded from below by the Ricci scalar of the CFT geometry. Are these results special to holographic CFTs? Here we show that for perturbations about appropriate backgrounds, they are in fact universal to all CFTs, as they follow from the universal behavior of two- and three-point correlators of known operators. In the case of vacuum energy, we extend away from the perturbative regime and make global statements about its negativity properties on the space of spatial geometries. Finally, we comment on the implications for dynamics which are dissipative and driven by such a vacuum energy and we remark on similar results for the behavior of the Euclidean partition function on deformations of flat space or the round sphere.