AdS₃ 中的刘维尔弦：世界面故事
Liouville strings in AdS$_3$: the worldsheet story
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中文总结 AI 辅助
研究 AdS₃ 中弦的世界面 σ - 模型，通过与含背景电荷的类时场耦合的刘维尔场论及边际变形来等效描述，探讨其与对偶变形 orbifold CFT₂ 刘维尔型描述的异同，半经典极限下刘维尔因子中心荷趋于对偶 CFT₂ 的中心荷。
中文摘要 AI 辅助
具有 NS - NS 通量的 AdS₃ 上弦的世界面 σ - 模型可以等效地用与具有背景电荷的类时场耦合的刘维尔场论加上一个边际变形来描述。产生变形的算符是不可归一化的，从弦理论角度看，与谱流扇区 ω = 2 相关。其作用是控制散射振幅中的缠绕数违反。在半经典（大 k）极限下，刘维尔因子的中心荷趋于对偶 CFT₂ 的中心荷，即 c ≃ 6k。这与对偶变形 orbifold CFT₂ 的刘维尔型描述有相似之处，但也有显著差异，本文对此进行了讨论。
英文摘要
The worldsheet $σ$-model of strings on AdS$_3$ with NS-NS fluxes can be equivalently described in terms of a Liouville field theory coupled to a timelike field with background charge, plus a marginal deformation. The operator that produces the deformation is non-normalizable and, from the string theory perspective, is associated to the spectral flow sector $ω=2$. Its role is to control the winding number violation in scattering amplitudes. In the semiclassical (large $k$) limit, the central charge of the Liouville factor tends to that of the dual CFT$_2$, namely $c\simeq 6k$. This may appear very similar to what occurs in the Liouville-type description of the dual deformed orbifold CFT$_2$, where a twist-2 deformation operator dressed with a non-normalized field also appears. Indeed, there are some similarities to that; however, there are also significant differences, which we discuss.
