The most irrational rational theories
The most irrational rational theories
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最非理性的理性理论
DOI：
10.1007/jhep04(2019)025
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发表时间：
2018
影响因子：
5.4
通讯作者：
Yuan Xin
中科院分区：
文献类型：
--
作者：
Nathan Benjamin;Nathan Benjamin;Ethan Dyer;Ethan Dyer;Ethan Dyer;A. Fitzpatrick;Yuan Xin
提出了反de Sitter空间中二维共形场理论全息对偶到纯三维引力的模不变配分函数族。我们的两个参数控制中心电荷和SL(2，ℤ)的表示。在较大的中心电荷中，分区函数与第一个非平凡的主要状态c24\Documentclass[12pt]{Minimal}\usepackage{amsath}\usepackage{wa ysym}\usepackage{amsfonts}\usepackage{amsbsy}\usepackage{maThrsfs}\usepackage{upgreek}\setlong{\oddsidemargin}{-69pt}\Begin{Document}$\frac{c}{24}$\end{Document}的第一个非平凡主要状态有差距。随着SL(2，ℤ)表示维的增大，配分函数呈现出无理CFT的一些定性特征。例如，这一点在光谱形状因子的行为中被捕捉到。作为这些分析的一部分，我们在最小模型谱形状因子中发现当c接近1时，类似的行为。
We propose a two-parameter family of modular invariant partition functions of two-dimensional conformal field theories (CFTs) holographically dual to pure three-dimensional gravity in anti de Sitter space. Our two parameters control the central charge, and the representation of SL(2, ℤ). At large central charge, the partition function has a gap to the first nontrivial primary state of c24\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \frac{c}{24} $$\end{document}. As the SL(2, ℤ) representation dimension gets large, the partition function exhibits some of the qualitative features of an irrational CFT. This, for instance, is captured in the behavior of the spectral form factor. As part of these analyses, we find similar behavior in the minimal model spectral form factor as c approaches 1.