Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915787820761088 |
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| author | Hatsuda, Yasuyuki Okazaki, Tadashi |
| author_facet | Hatsuda, Yasuyuki Okazaki, Tadashi |
| contents | We study configurations of two $\mathcal{N}=4$ super Yang-Mills theories of unitary gauge groups connected by the BPS interfaces involving line operators. We find strong evidence of S-duality of the configurations as precise matching of the line defect half-indices which enumerate the BPS local operators at the junctions of the interfaces and line operators. The interface line defect half-indices are expressible as intriguing closed-form formulae involving the $q$-binomial coefficients and the principal specializations of the Schur functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_25168 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices Hatsuda, Yasuyuki Okazaki, Tadashi High Energy Physics - Theory We study configurations of two $\mathcal{N}=4$ super Yang-Mills theories of unitary gauge groups connected by the BPS interfaces involving line operators. We find strong evidence of S-duality of the configurations as precise matching of the line defect half-indices which enumerate the BPS local operators at the junctions of the interfaces and line operators. The interface line defect half-indices are expressible as intriguing closed-form formulae involving the $q$-binomial coefficients and the principal specializations of the Schur functions. |
| title | Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.25168 |