One-loop $p$-adic string theory and the Néron local height function
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866912995691462656 |
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| author | Huang, An Jepsen, Christian |
| author_facet | Huang, An Jepsen, Christian |
| contents | The $p$-adic string worldsheet action on the quotient of the Bruhat-Tits tree of $PGL(2,\mathbb{Q}_p)$ by a genus 1 Schottky group has a dual description on the asymptotic boundary, the Tate curve $\mathbb{Q}_p^\ast/q^\mathbb{Z}$. We show that the two point function of the dual action coincides with the Néron-Tate local height function of the Tate curve. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00970 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | One-loop $p$-adic string theory and the Néron local height function Huang, An Jepsen, Christian Number Theory High Energy Physics - Theory 11G07, 81T30, 11G50 The $p$-adic string worldsheet action on the quotient of the Bruhat-Tits tree of $PGL(2,\mathbb{Q}_p)$ by a genus 1 Schottky group has a dual description on the asymptotic boundary, the Tate curve $\mathbb{Q}_p^\ast/q^\mathbb{Z}$. We show that the two point function of the dual action coincides with the Néron-Tate local height function of the Tate curve. |
| title | One-loop $p$-adic string theory and the Néron local height function |
| topic | Number Theory High Energy Physics - Theory 11G07, 81T30, 11G50 |
| url | https://arxiv.org/abs/2604.00970 |