论文标题

ADS中的光谱流和字符串相关器

Spectral flow and string correlators in AdS$_3\times S^3 \times T^4$

论文作者

Iguri, Sergio, Kovensky, Nicolas, Toro, Julian H.

论文摘要

我们考虑用于在AD中传播的SuperSring的三点相关函数$ _3 \ times s^3 \ times t^4 $。在RNS形式主义中,这些通常涉及与当前插入的相关因子。当存在具有非平凡光谱流量电荷的顶点操作员时,其与电流的复杂操作意味着不能使用标准方法来计算此类相关器。在这里,我们开发了用于计算超对称模型的所有$ m $ basis相关器的新颖技术。然后,我们展示如何将这些结果转化为$ x $ - 基础。我们获得了一个新的全息三分函数,涉及居住在世界表格CFT的频谱扇区中的时空手性原则。这些恰好匹配对称产品Orbifold点上全息二的预测。最后,我们还考虑长字符串,并计算与描述基本弦量量子的发射/吸收过程相关的概率幅度。

We consider three-point correlation functions for superstrings propagating in AdS$_3\times S^3 \times T^4$. In the RNS formalism, these generically involve correlators with current insertions. When vertex operators with non-trivial spectral flow charges are present, their complicated OPEs with the currents imply that standard methods can not be used to compute such correlators. Here we develop novel techniques for computing all $m$-basis correlators of the supersymmetric model. We then show how, in some cases, these results can be translated to the $x$-basis. We obtain a new family of holographic three-point functions involving spacetime chiral primaries living in spectrally flowed sectors of the worldsheet CFT. These match precisely the predictions from the holographic dual at the symmetric product orbifold point. Finally, we also consider long strings and compute the probability amplitude associated with the process describing the emission/absorption of fundamental string quanta.

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