Boundary lines and Askey-Wilson type moments
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911598570897408 |
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| author | Okazaki, Tadashi Smith, Douglas J. |
| author_facet | Okazaki, Tadashi Smith, Douglas J. |
| contents | The Wilson line defect half-indices for 3d $\mathcal{N}=2$ gauge theories with boundary confining phases admit a formulation in terms of the Askey-Wilson type moments. In the dual Landau-Ginzburg description the dual line operators can be realized as vortex line defects which induce singular behavior of chiral multiplets associated with the minimal monopole operators, together with additional one-dimensional degrees of freedom. By incorporating such a singular structure as an effective spin shift into the index computation, we obtain exact closed-form expressions for the line defect half-indices which are Askey-Wilson type moments. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_15018 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Boundary lines and Askey-Wilson type moments Okazaki, Tadashi Smith, Douglas J. High Energy Physics - Theory The Wilson line defect half-indices for 3d $\mathcal{N}=2$ gauge theories with boundary confining phases admit a formulation in terms of the Askey-Wilson type moments. In the dual Landau-Ginzburg description the dual line operators can be realized as vortex line defects which induce singular behavior of chiral multiplets associated with the minimal monopole operators, together with additional one-dimensional degrees of freedom. By incorporating such a singular structure as an effective spin shift into the index computation, we obtain exact closed-form expressions for the line defect half-indices which are Askey-Wilson type moments. |
| title | Boundary lines and Askey-Wilson type moments |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2604.15018 |