Gravitational dual of averaged free CFT’s over the Narain lattice
Gravitational dual of averaged free CFT’s over the Narain lattice
复制标题
Narain 晶格上平均自由 CFT 的引力对偶
DOI：
10.1007/jhep11(2020)015
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发表时间：
2020
影响因子：
5.4
通讯作者：
Ricardo Troncoso
中科院分区：
文献类型：
--
作者：
Alfredo P'erez;Ricardo Troncoso
最近有人认为，Narain 晶格上自由 CFT 的平均可以通过 U (1)D×U (1)D 的 Chern-Simons 理论全息描述，并通过精确的处方对三维手柄求和。我们表明，这些平均 CFT 的引力对偶将由具有 U (1)D−1× U (1)D−1 规范场的 AdS3 上的爱因斯坦引力提供，并赋予一组与“软毛”密切相关的精确边界条件。然后，引力激励沿着对角线 SL (2, ℝ) 发生器传播，以便渐近对称性由 U (1)D× U (1)D 电流跨越。然后，应力-能量张量可以在几何上被视为通过扭曲菅原结构的这些电流的组合。我们的边界条件是这样的，对于简化的相空间，引力理论和纯阿贝尔理论中的配置之间存在一对一的映射。然后，整体配分函数也可以根据 SL (2, ℝ) × U (1)D−1 生成器的两个副本的非阿贝尔陈-西蒙斯理论来执行，或者正式地通过沿度量允许配置族的路径积分来执行。新的边界条件自然地适应了 BTZ 黑洞，并且微观状态数似乎明显为正，并且可以根据整体配分函数进行适当解释。还简要讨论了在较高自旋重力的背景下通过延伸扭曲菅原结构包含较高自旋电流。
It has been recently argued that the averaging of free CFT’s over the Narain lattice can be holographically described through a Chern-Simons theory for U (1)D×U (1)D with a precise prescription to sum over three-dimensional handlebodies. We show that a gravitational dual of these averaged CFT’s would be provided by Einstein gravity on AdS3 with U (1)D−1× U (1)D−1 gauge fields, endowed with a precise set of boundary conditions closely related to the “soft hairy” ones. Gravitational excitations then go along diagonal SL (2, ℝ) generators, so that the asymptotic symmetries are spanned by U (1)D× U (1)D currents. The stress-energy tensor can then be geometrically seen as composite of these currents through a twisted Sugawara construction. Our boundary conditions are such that for the reduced phase space, there is a one-to-one map between the configurations in the gravitational and the purely abelian theories. The partition function in the bulk could then also be performed either from a non-abelian Chern-Simons theory for two copies of SL (2, ℝ) × U (1)D−1 generators, or formally through a path integral along the family of allowed configurations for the metric. The new boundary conditions naturally accommodate BTZ black holes, and the microscopic number of states then appears to be manifestly positive and suitably accounted for from the partition function in the bulk. The inclusion of higher spin currents through an extended twisted Sugawara construction in the context of higher spin gravity is also briefly addressed.
影响因子：
5.4
作者：
A. Maloney;E. Witten
通讯作者：
A. Maloney;E. Witten
Docosahexaenoic Acid会影响巨噬细胞表型亚群和吞噬膜膜的渗透性。
DOI：
10.1080/15287394.2020.1842826
发表时间：
2021-02-16
期刊：
Journal of toxicology and environmental health. Part A
影响因子：
--
作者：
Fletcher P;Hamilton RF Jr;Rhoderick JF;Pestka JJ;Holian A
通讯作者：
Holian A