The Small ${\cal N}=4$ Superconformal ${\cal W}_{\infty}$ Algebra
Abstract
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 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.
- Publication:
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arXiv e-prints
- Pub Date:
- April 2020
- DOI:
- 10.48550/arXiv.2004.07439
- arXiv:
- arXiv:2004.07439
- Bibcode:
- 2020arXiv200407439A
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 36 pages, Version accepted for publication in the J.Phys.A