ADHM Wilson line defect indices
Abstract The Coulomb and Higgs indices of the 3d N $$ \mathcal{N} $$ = 4 U(N) ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fun...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-09-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP09(2024)123 |
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| _version_ | 1849766880479281152 |
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| author | Hirotaka Hayashi Tomoki Nosaka Tadashi Okazaki |
| author_facet | Hirotaka Hayashi Tomoki Nosaka Tadashi Okazaki |
| author_sort | Hirotaka Hayashi |
| collection | DOAJ |
| description | Abstract The Coulomb and Higgs indices of the 3d N $$ \mathcal{N} $$ = 4 U(N) ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large N limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs. |
| format | Article |
| id | doaj-art-3db619a4388a4ee5be0ebab40d1d0070 |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3db619a4388a4ee5be0ebab40d1d00702025-08-20T03:04:26ZengSpringerOpenJournal of High Energy Physics1029-84792024-09-0120249111210.1007/JHEP09(2024)123ADHM Wilson line defect indicesHirotaka Hayashi0Tomoki Nosaka1Tadashi Okazaki2Department of Physics, School of Science, Tokai UniversityKavli Institute for Theoretical Sciences, University of Chinese Academy of SciencesShing-Tung Yau Center of Southeast UniversityAbstract The Coulomb and Higgs indices of the 3d N $$ \mathcal{N} $$ = 4 U(N) ADHM theories can be decorated by line defect operators as the line defect correlators. We obtain exact closed-form expressions and various non-trivial algebraic relations for the correlators of the Wilson lines in the fundamental and (anti)symmetric representations by means of the Hall-Littlewood expansion, the Fermi-gas method and the residue calculation. From the large N limit of the correlators we obtain the single particle gravity indices which are expected to encode the spectra of fluctuation modes on the gravity duals of line operators in M2-brane SCFTs.https://doi.org/10.1007/JHEP09(2024)123Brane Dynamics in Gauge TheoriesExtended SupersymmetrySupersymmetric Gauge TheoryWilson, ’t Hooft and Polyakov loops |
| spellingShingle | Hirotaka Hayashi Tomoki Nosaka Tadashi Okazaki ADHM Wilson line defect indices Journal of High Energy Physics Brane Dynamics in Gauge Theories Extended Supersymmetry Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| title | ADHM Wilson line defect indices |
| title_full | ADHM Wilson line defect indices |
| title_fullStr | ADHM Wilson line defect indices |
| title_full_unstemmed | ADHM Wilson line defect indices |
| title_short | ADHM Wilson line defect indices |
| title_sort | adhm wilson line defect indices |
| topic | Brane Dynamics in Gauge Theories Extended Supersymmetry Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP09(2024)123 |
| work_keys_str_mv | AT hirotakahayashi adhmwilsonlinedefectindices AT tomokinosaka adhmwilsonlinedefectindices AT tadashiokazaki adhmwilsonlinedefectindices |