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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.19369 |
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| _version_ | 1866917163797839872 |
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| author | Leone, Giorgio |
| author_facet | Leone, Giorgio |
| contents | We explore the quantisation of the tachyonic type 0B superstring and the non-tachyonic $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on AdS$_3 \times S^3 \times T^4$ and AdS$_3 \times S^3 \times S^3 \times S^1$ backgrounds. Adapting the analysis for the supersymmetric and bosonic string theories to these set-ups, we provide a world-sheet description for a generic level of the $\text{SL}(2,\mathbb{R})$ WZW model, and we read the spectrum through the associated partition functions. Focusing on the low-energy theory, we show that the $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on both backgrounds accommodates non-trivial Wilson lines that are responsible for the appearance of tachyonic regions in the classical moduli space, hence jeopardising the stability of the vacuum. We show this with a concrete example on the AdS$_3 \times S^3 \times S^3 \times S^1$ space and provide general formulas for a systematic analysis of the classical moduli space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19369 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-supersymmetric strings on AdS$_3$: a world-sheet perspective Leone, Giorgio High Energy Physics - Theory We explore the quantisation of the tachyonic type 0B superstring and the non-tachyonic $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on AdS$_3 \times S^3 \times T^4$ and AdS$_3 \times S^3 \times S^3 \times S^1$ backgrounds. Adapting the analysis for the supersymmetric and bosonic string theories to these set-ups, we provide a world-sheet description for a generic level of the $\text{SL}(2,\mathbb{R})$ WZW model, and we read the spectrum through the associated partition functions. Focusing on the low-energy theory, we show that the $\text{Spin}(16) \times \text{Spin}(16) \rtimes \mathbb{Z}_2$ heterotic string on both backgrounds accommodates non-trivial Wilson lines that are responsible for the appearance of tachyonic regions in the classical moduli space, hence jeopardising the stability of the vacuum. We show this with a concrete example on the AdS$_3 \times S^3 \times S^3 \times S^1$ space and provide general formulas for a systematic analysis of the classical moduli space. |
| title | Non-supersymmetric strings on AdS$_3$: a world-sheet perspective |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2512.19369 |