Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
Establishing strongly-coupled 3D AdS quantum gravity with Ising dual using all-genus partition functions
复制标题
使用全属配分函数建立强耦合 3D AdS 量子引力与伊辛对偶
DOI：
10.1007/jhep10(2020)129
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发表时间：
2019
影响因子：
5.4
通讯作者：
Zhenghan Wang
中科院分区：
文献类型：
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作者：
Chao;A. Ludwig;Zhu;Hao;Zhenghan Wang
在AdS半径l为普朗克尺度量级的情况下，研究了具有负宇宙常数的三维纯爱因斯坦量子引力。当Brown-Henneaux中心荷c = 3l/2GN（GN为3D牛顿常数）等于c = 1/2时，通过匹配AdS时空的引力和共形场论配分函数，建立了3D引力和2D Ising共形场论之间的对偶性. Castro等人[Phys.Rev.D85（2012）024032]的属一计算提出了这种二元性。对亏格1的扩展需要基于三维拓扑量子场论的新的数学结果;这些结果在所有c < 1的理论中唯一地选择了c = 1/2理论，扩展了Castro等人以前的结果。以前的工作建议将重力配分函数的计算简化为对“真空种子”上的映射类群作用的轨道求和的问题。但是，在这项工作之前，对于一般情况，求和是否是定义良好的是未知的。在Brown-Henneaux中心荷c < 1的所有理论中，只有当c = 1/2时，和才是有限且唯一的，对应于渐近边界上的对偶伊辛共形场论。
Abstract We study 3D pure Einstein quantum gravity with negative cosmological constant, in the regime where the AdS radius l is of the order of the Planck scale. Specifically, when the Brown-Henneaux central charge c = 3l/2GN (GN is the 3D Newton constant) equals c = 1/2, we establish duality between 3D gravity and 2D Ising conformal field theory by matching gravity and conformal field theory partition functions for AdS spacetimes with general asymptotic boundaries. This duality was suggested by a genus-one calculation of Castro et al. [Phys. Rev. D85 (2012) 024032]. Extension beyond genus-one requires new mathematical results based on 3D Topological Quantum Field Theory; these turn out to uniquely select the c = 1/2 theory among all those with c < 1, extending the previous results of Castro et al. Previous work suggests the reduction of the calculation of the gravity partition function to a problem of summation over the orbits of the mapping class group action on a “vacuum seed”. But whether or not the summation is well-defined for the general case was unknown before this work. Amongst all theories with Brown-Henneaux central charge c < 1, the sum is finite and unique only when c = 1/2, corresponding to a dual Ising conformal field theory on the asymptotic boundary.
影响因子：
0.6
作者：
Parsa Bonderson;E. Rowell;Qing Zhang;Zhenghan Wang
通讯作者：
Parsa Bonderson;E. Rowell;Qing Zhang;Zhenghan Wang
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