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

Changhyun Ahn, Matthias R. Gaberdiel, Man Hea Kim

Changhyun Ahn, Matthias R. Gaberdiel, Man Hea Kim

**16/4/20**Published in : arXiv:2004.07439

The symmetric orbifold of

\mathbb{T}^4 |

is the CFT dual of string theory on AdS

_3\times {\rm S}^3 \times \mathbb{T}^4 |

with minimal NS-NS flux. We study its symmetry algebra and demonstrate that it does not have any deformation parameter. This shows that the symmetric orbifold is (at least locally) the most symmetrical CFT in its moduli space.