The resurgence of errors in the localization of $\mathcal{N} = 2$ superconformal Yang-Mills
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866911424556564480 |
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| author | Aniceto, Inês Ratcliffe, James Yaakov, Itamar |
| author_facet | Aniceto, Inês Ratcliffe, James Yaakov, Itamar |
| contents | We give a physical interpretation for the analytic continuation of the partition function of superconformal SU$(2)$ $\mathcal{N}=2$ gauge theory on the four-sphere to all values of the Yang-Mills coupling. We show that a well-motivated 2d construction associates two-dimensional unstable instantons to the 4d complex saddles which appear as singularities in the integrand of the supersymmetric localization expression. The construction is based on the chiral algebra subsector, and aligns with the alternative Higgs branch localization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_05733 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The resurgence of errors in the localization of $\mathcal{N} = 2$ superconformal Yang-Mills Aniceto, Inês Ratcliffe, James Yaakov, Itamar High Energy Physics - Theory Mathematical Physics We give a physical interpretation for the analytic continuation of the partition function of superconformal SU$(2)$ $\mathcal{N}=2$ gauge theory on the four-sphere to all values of the Yang-Mills coupling. We show that a well-motivated 2d construction associates two-dimensional unstable instantons to the 4d complex saddles which appear as singularities in the integrand of the supersymmetric localization expression. The construction is based on the chiral algebra subsector, and aligns with the alternative Higgs branch localization. |
| title | The resurgence of errors in the localization of $\mathcal{N} = 2$ superconformal Yang-Mills |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2602.05733 |