Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915033909297152 |
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| author | Gaberdiel, Matthias R. Sriprachyakul, Vit |
| author_facet | Gaberdiel, Matthias R. Sriprachyakul, Vit |
| contents | We propose that string theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with $\textit{two}$ units of NS-NS flux through each of the two $3$-spheres is exactly dual to the symmetric orbifold of $2$ bosons and $8$ free fermions. Here, one of the two bosons describes the compact ${\rm S}^1$, while the other one corresponds to the radial (non-compact) direction of ${\rm AdS}_3$. Unlike the analogous situation for ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$, the description makes sense both in the NS-R as well as the hybrid formulation, and we explain the duality in both frameworks. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_16848 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$ Gaberdiel, Matthias R. Sriprachyakul, Vit High Energy Physics - Theory We propose that string theory on ${\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1$ with $\textit{two}$ units of NS-NS flux through each of the two $3$-spheres is exactly dual to the symmetric orbifold of $2$ bosons and $8$ free fermions. Here, one of the two bosons describes the compact ${\rm S}^1$, while the other one corresponds to the radial (non-compact) direction of ${\rm AdS}_3$. Unlike the analogous situation for ${\rm AdS}_3 \times {\rm S}^3 \times \mathbb{T}^4$, the description makes sense both in the NS-R as well as the hybrid formulation, and we explain the duality in both frameworks. |
| title | Tensionless strings on $AdS_3 \times S^3 \times S^3 \times S^1$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2411.16848 |