A relation between $(2,2m-1)$ minimal strings and the Virasoro minimal string
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arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913214602674176 |
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| author | Castro, Alicia |
| author_facet | Castro, Alicia |
| contents | We propose a connection between the newly formulated Virasoro minimal string and the well-established $(2,2m-1)$ minimal string by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of $E^{m+1/2}$. This string equation is expressed as a power series involving double-scaled multicritical matrix models, which are dual to $(2,2m-1)$ minimal strings. This reformulation of Virasoro minimal strings enables us to employ matrix theory tools to compute its $n$-boundary correlators. We analyze the scaling behavior of $n$-boundary correlators and quantum volumes $V^{(b)}_{0,n}(\ell_1,\dots,\ell_n)$ in the JT gravity limit. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06216 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A relation between $(2,2m-1)$ minimal strings and the Virasoro minimal string Castro, Alicia High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We propose a connection between the newly formulated Virasoro minimal string and the well-established $(2,2m-1)$ minimal string by deriving the string equation of the Virasoro minimal string using the expansion of its density of states in powers of $E^{m+1/2}$. This string equation is expressed as a power series involving double-scaled multicritical matrix models, which are dual to $(2,2m-1)$ minimal strings. This reformulation of Virasoro minimal strings enables us to employ matrix theory tools to compute its $n$-boundary correlators. We analyze the scaling behavior of $n$-boundary correlators and quantum volumes $V^{(b)}_{0,n}(\ell_1,\dots,\ell_n)$ in the JT gravity limit. |
| title | A relation between $(2,2m-1)$ minimal strings and the Virasoro minimal string |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2401.06216 |