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Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$

High Energy Physics - Theory 2024-11-27 v1

Abstract

We propose that string theory on AdS3×S3×S3×S1{\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1 with two\textit{two} units of NS-NS flux through each of the two 33-spheres is exactly dual to the symmetric orbifold of 22 bosons and 88 free fermions. Here, one of the two bosons describes the compact S1{\rm S}^1, while the other one corresponds to the radial (non-compact) direction of AdS3{\rm AdS}_3. Unlike the analogous situation for AdS3×S3×T4{\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4, the description makes sense both in the NS-R as well as the hybrid formulation, and we explain the duality in both frameworks.

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Cite

@article{arxiv.2411.16848,
  title  = {Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$},
  author = {Matthias R. Gaberdiel and Vit Sriprachyakul},
  journal= {arXiv preprint arXiv:2411.16848},
  year   = {2024}
}

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36 pages