English

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

High Energy Physics - Theory 2020-09-10 v2

Abstract

The symmetric orbifold of T4\mathbb{T}^4 is the CFT dual of string theory on AdS3×S3×T4_3\times {\rm S}^3 \times \mathbb{T}^4 with minimal NS-NS flux. We study its symmetry algebra and provide evidence that it does not have any deformation parameter. This suggests that the symmetric orbifold is (at least locally) the most symmetrical CFT in its moduli space.

Keywords

Cite

@article{arxiv.2004.07439,
  title  = {The Small ${\cal N}=4$ Superconformal ${\cal W}_{\infty}$ Algebra},
  author = {Changhyun Ahn and Matthias R. Gaberdiel and Man Hea Kim},
  journal= {arXiv preprint arXiv:2004.07439},
  year   = {2020}
}

Comments

36 pages, Version accepted for publication in the J.Phys.A

R2 v1 2026-06-23T14:53:13.680Z