More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
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| Format: | Preprint |
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2026
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| _version_ | 1866908826165313536 |
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| author | Liu, Minhao Wang, Xin Zhu, Rui-Dong |
| author_facet | Liu, Minhao Wang, Xin Zhu, Rui-Dong |
| contents | In this article, we further explore the construction and computation of expectation values for Wilson loops in higher-rank 5d $\mathcal{N} = 1$ gauge theories on $\mathbb{C}_2 \times S_1$, by explicitly computing the Wilson loops via Chern-character insertion and qq-characters, including cases with the exceptional gauge group $G_2$. In particular, we propose a systematic way to write down the general blowup equations for Wilson loops by using the constraints from the one-form symmetry and low-instanton data from the instanton partition function. In addition, for one-instanton contributions in a large family of Wilson loop representations, we observe that they admit a $q_1q_2$-expansion, similar to the Hilbert-series structure of instanton partitions in pure gauge theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_09807 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations Liu, Minhao Wang, Xin Zhu, Rui-Dong High Energy Physics - Theory Mathematical Physics In this article, we further explore the construction and computation of expectation values for Wilson loops in higher-rank 5d $\mathcal{N} = 1$ gauge theories on $\mathbb{C}_2 \times S_1$, by explicitly computing the Wilson loops via Chern-character insertion and qq-characters, including cases with the exceptional gauge group $G_2$. In particular, we propose a systematic way to write down the general blowup equations for Wilson loops by using the constraints from the one-form symmetry and low-instanton data from the instanton partition function. In addition, for one-instanton contributions in a large family of Wilson loop representations, we observe that they admit a $q_1q_2$-expansion, similar to the Hilbert-series structure of instanton partitions in pure gauge theories. |
| title | More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2602.09807 |