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The symmetric orbifold of $\mathbb{T}^4$ is the CFT dual of string theory onAdS$_3\times {\rm S}^3 \times \mathbb{T}^4$ with minimal NS-NS flux. We studyits symmetry algebra and provide evidence that it does not have any deformationparameter. This suggests that the symmetric orbifold is (at least locally) themost symmetrical CFT in its moduli space.

The Small ${\cal N}=4$ Superconformal ${\cal W}_{\infty}$ Algebra