The Super Virasoro Minimal String from 3d Supergravity
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917444938891264 |
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| author | Eberhardt, Lorenz |
| author_facet | Eberhardt, Lorenz |
| contents | The super Virasoro minimal string is defined by coupling spacelike and timelike super Liouville theories on the worldsheet. There are four different theories 0A$^\pm$ and 0B$^\pm$ depending on discrete choices on the worldsheet. We show that these theories arise naturally from quantization of 3d supergravity, and the amplitudes compute the dimension ($+$) or superdimension ($-$) of the space of $\mathcal{N}=1$ superconformal blocks modulo crossing symmetry. Both 0A$^+$ and 0B$^+$ are perturbatively dual to the same matrix integral as the bosonic Virasoro minimal string, while 0B$^-$ is dual to a matrix integral with an inverse square root singularity. We show that all non-trivial perturbative amplitudes of the 0A$^-$ theory vanish. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_26038 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Super Virasoro Minimal String from 3d Supergravity Eberhardt, Lorenz High Energy Physics - Theory Mathematical Physics Algebraic Geometry The super Virasoro minimal string is defined by coupling spacelike and timelike super Liouville theories on the worldsheet. There are four different theories 0A$^\pm$ and 0B$^\pm$ depending on discrete choices on the worldsheet. We show that these theories arise naturally from quantization of 3d supergravity, and the amplitudes compute the dimension ($+$) or superdimension ($-$) of the space of $\mathcal{N}=1$ superconformal blocks modulo crossing symmetry. Both 0A$^+$ and 0B$^+$ are perturbatively dual to the same matrix integral as the bosonic Virasoro minimal string, while 0B$^-$ is dual to a matrix integral with an inverse square root singularity. We show that all non-trivial perturbative amplitudes of the 0A$^-$ theory vanish. |
| title | The Super Virasoro Minimal String from 3d Supergravity |
| topic | High Energy Physics - Theory Mathematical Physics Algebraic Geometry |
| url | https://arxiv.org/abs/2604.26038 |