We exploit null vectors of the fractional Virasoro algebra of the symmetric product orbifold to compute correlation functions of twist fields in the large N limit. This yields a new method to derive correlation functions in these orbifold CFTs that is purely based on the symmetry algebra. We explore various generalisations, such as subleading (torus) contributions or correlation functions of other fields than the bare twist fields. We comment on the consequences of our computation for the AdS 3 / CFT 2 correspondence.

中文翻译：

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对称乘积轨道的相关器

我们利用对称积 orbifold 的分数 Virasoro 代数的零向量来计算大 N 限制中扭曲场的相关函数。这产生了一种新方法来推导这些 orbifold CFT 中的相关函数，该方法完全基于对称代数。我们探索了各种概括，例如子引导（环面）贡献或其他领域的相关函数，而不是裸扭曲领域。我们评论了我们对 AdS 3 / CFT 2 对应关系的计算结果。