This paper considers a recently-proposed string theory on AdS₃ × S³ × T⁴ with one unit of NS-NS flux (k = 1). We discuss interpretations of the target space, including connections to twistor geometry and a more conventional spacetime interpretation via the Wakimoto representation. We propose an alternative perspective on the role of the Wakimoto formalism in the k = 1 string, for which no large radius limit is required by the inclusion of extra operator insertions in the path integral. This provides an exact Wakimoto description of the worldsheet CFT. We also discuss an additional local worldsheet symmetry, Q(z), that emerges when k = 1 and show that this symmetry plays an important role in the localisation of the path integral to a sum over covering maps. We demonstrate the emergence of a rigid worldsheet translation symmetry in the radial direction of the AdS₃, for which again the presence of Q(z) is crucial. We conjecture that this radial symmetry plays a key role in understanding, in the case of the k = 1 string, the encoding of the bulk physics on the two-dimensional boundary.

本文考虑了最近提出的关于AdS ₃ × S ³ × T ⁴的弦理论，其中具有一个单位 NS-NS 通量 ( k = 1)。我们讨论对目标空间的解释，包括与扭量几何的联系以及通过 Wakimoto 表示的更传统的时空解释。我们提出了关于 Wakimoto 形式主义在k = 1 字符串中的作用的另一种观点，对于该字符串，通过在路径积分中包含额外的算子插入不需要大的半径限制。这提供了世界表 CFT 的准确 Wakimoto 描述。我们还讨论了当k = 1时出现的另一个局部世界表对称性Q ( z )，并表明这种对称性在覆盖地图上总和的路径积分的局部化中起着重要作用。我们证明了AdS ₃径向上刚性世界面平移对称性的出现，对此Q ( z ) 的存在再次至关重要。我们推测，在k = 1 弦的情况下，这种径向对称性对于理解二维边界上的体物理编码起着关键作用。