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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2307.02112 |
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| _version_ | 1866910408539897856 |
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| author | Osuga, Kento |
| author_facet | Osuga, Kento |
| contents | We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the $\mathscr{Q}$-top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the $\mathscr{Q}$-top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov-Shatashivili effective twisted superpotential. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_02112 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Deformation and quantisation condition of the $\mathscr{Q}$-top recursion Osuga, Kento Mathematical Physics High Energy Physics - Theory Algebraic Geometry We consider a deformation of a family of hyperelliptic refined spectral curves and investigate how deformation effects appear in the hyperelliptic refined topological recursion as well as the $\mathscr{Q}$-top recursion. We then show a coincidence between a deformation condition and a quantisation condition in terms of the $\mathscr{Q}$-top recursion on a degenerate elliptic curve. We also discuss a relation to the corresponding Nekrasov-Shatashivili effective twisted superpotential. |
| title | Deformation and quantisation condition of the $\mathscr{Q}$-top recursion |
| topic | Mathematical Physics High Energy Physics - Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2307.02112 |