$\mathcal{N}=1$ super complex Liouville string
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866911282345541632 |
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| author | Du, Zhengyuan Liu, Kangning Yu, Zhe-fei |
| author_facet | Du, Zhengyuan Liu, Kangning Yu, Zhe-fei |
| contents | We study the (type 0B) $\mathcal{N}=1$ supersymmetric complex Liouville string ($\text{S}\mathbb{C}\text{LS}$), a supersymmetric extension of the bosonic complex Liouville string ($\mathbb{C}\text{LS}$). We compute the sphere three-point amplitudes (including NS-NS-NS and NS-R-R types) and find they share the same form as the sphere three-point amplitude of the bosonic $\mathbb{C}\text{LS}$. Analysis of the analytic structure of the NS-NS-NS-NS four-point amplitude and the higher equations of motion also yields results identical to the bosonic case. Based on these findings, we propose that the dual matrix model for the $\text{S}\mathbb{C}\text{LS}$ is the same as that for the bosonic $\mathbb{C}\text{LS}$. We also investigate a related theory $\widehat{\text{S}\mathbb{C}\text{LS}}$, which differs in the gauged worldsheet supersymmetry. A parallel analysis is performed for $\widehat{\text{S}\mathbb{C}\text{LS}}$, and a candidate for its dual matrix model is proposed. We then carry out a partial numerical evaluation of the moduli space integral, which provides further evidence for both the proposals of the dual matrix model regarding $\text{S}\mathbb{C}\text{LS}$ and $\widehat{\text{S}\mathbb{C}\text{LS}}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_19770 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $\mathcal{N}=1$ super complex Liouville string Du, Zhengyuan Liu, Kangning Yu, Zhe-fei High Energy Physics - Theory We study the (type 0B) $\mathcal{N}=1$ supersymmetric complex Liouville string ($\text{S}\mathbb{C}\text{LS}$), a supersymmetric extension of the bosonic complex Liouville string ($\mathbb{C}\text{LS}$). We compute the sphere three-point amplitudes (including NS-NS-NS and NS-R-R types) and find they share the same form as the sphere three-point amplitude of the bosonic $\mathbb{C}\text{LS}$. Analysis of the analytic structure of the NS-NS-NS-NS four-point amplitude and the higher equations of motion also yields results identical to the bosonic case. Based on these findings, we propose that the dual matrix model for the $\text{S}\mathbb{C}\text{LS}$ is the same as that for the bosonic $\mathbb{C}\text{LS}$. We also investigate a related theory $\widehat{\text{S}\mathbb{C}\text{LS}}$, which differs in the gauged worldsheet supersymmetry. A parallel analysis is performed for $\widehat{\text{S}\mathbb{C}\text{LS}}$, and a candidate for its dual matrix model is proposed. We then carry out a partial numerical evaluation of the moduli space integral, which provides further evidence for both the proposals of the dual matrix model regarding $\text{S}\mathbb{C}\text{LS}$ and $\widehat{\text{S}\mathbb{C}\text{LS}}$. |
| title | $\mathcal{N}=1$ super complex Liouville string |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.19770 |