论文标题

来自广告的对称orbifold的相关函数$ _3 $字符串理论

Correlation functions of symmetric orbifold from AdS$_3$ string theory

论文作者

Hikida, Yasuaki, Liu, Tianshu

论文摘要

该论文研究了SL(2)Wess-Zumino-Novikov-Witten(WZNW)模型对称性Orbifold和String理论的相关函数之间的对应关系。首先,根据有效的Riemann表面数据,写下对称Orbifold中扭曲算子的N点功能。然后证明可以从SL(2)WZNW模型中复制相关函数。该计算是基于以下主张:弦世界表由相同的riemann表面和从SL(2)WZNW模型到liouville田地理论的还原方法给出。我们首先考虑零属的表面,然后将分析概括为通用属的情况。结果应该是推导广告$ _3 $/cft $ _2 $对应的重要组成部分,并对字符串扰动理论中的所有订单进行无张力的超弦。

The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The result should be an important ingredient for deriving AdS$_3$/CFT$_2$ correspondence with tensionless superstrings to all orders in string perturbation theory.

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