量化 AdS$_2$ 中的折叠弦

David Vegh
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引用次数: 0

摘要

在二维平面空间中,封闭折叠弦--或者说由弦连接的两个无质量粒子--的振荡运动可以用't Hooft方程量化。本文提出了在反德西特空间量化折叠弦的另一种方法。通过使用受积分性启发的变量,将$g \equiv {(R_\text{AdS})^2 \over2\pi \alpha'}$设置为一个特定的依赖于p的$\mathcal{O}(1)$值,并对反对称波函数应用垂直边界条件,我们得到了与具有p-费米子相互作用的无序平均萨克德夫-叶-基塔耶夫模型中的费米子双线性算子精确匹配的方面图。
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Quantizing the folded string in AdS$_2$
In two-dimensional flat space, the oscillatory motion of a closed folded string--or alternatively, two massless particles connected by a string--can be quantized using the 't Hooft equation. This paper presents an alternative method for quantizing the folded string in anti-de Sitter space. By using variables inspired by integrability, setting $g \equiv {(R_\text{AdS})^2 \over 2\pi \alpha'}$ to a specific p-dependent $\mathcal{O}(1)$ value, and applying a particular boundary condition to the antisymmetrized wavefunction, we obtain a spectrum that precisely matches that of fermion bilinear operators in the disorder-averaged Sachdev-Ye-Kitaev model with p-fermion interactions.
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