Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators
Abstract We study the Schur line defect correlation functions in $$ \mathcal{N} $$ = 4 and $$ \mathcal{N} $$ = 2∗ U(N) super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the fundamental, antisymmetric and symmetric represent...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-06-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP06(2023)169 |
| _version_ | 1797675955916898304 |
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| author | Yasuyuki Hatsuda Tadashi Okazaki |
| author_facet | Yasuyuki Hatsuda Tadashi Okazaki |
| author_sort | Yasuyuki Hatsuda |
| collection | DOAJ |
| description | Abstract We study the Schur line defect correlation functions in $$ \mathcal{N} $$ = 4 and $$ \mathcal{N} $$ = 2∗ U(N) super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the fundamental, antisymmetric and symmetric representations via the Fermi-gas method in the canonical and grand canonical ensembles. All the Schur line defect correlators are shown to be expressible in terms of multiple series that generalizes the Kronecker theta function. From the large N correlators we obtain generating functions for the spectra of the D5-brane giant and the D3-brane dual giant and find a correspondence between the fluctuation modes and the plane partition diamonds. |
| first_indexed | 2024-03-11T22:22:12Z |
| format | Article |
| id | doaj.art-96258a3d889a445dae002fbe60c16ec5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T22:22:12Z |
| publishDate | 2023-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-96258a3d889a445dae002fbe60c16ec52023-09-24T11:04:38ZengSpringerOpenJournal of High Energy Physics1029-84792023-06-012023616410.1007/JHEP06(2023)169Exact $$ \mathcal{N} $$ = 2* Schur line defect correlatorsYasuyuki Hatsuda0Tadashi Okazaki1Department of Physics, Rikkyo UniversityShing-Tung Yau Center of Southeast UniversityAbstract We study the Schur line defect correlation functions in $$ \mathcal{N} $$ = 4 and $$ \mathcal{N} $$ = 2∗ U(N) super Yang-Mills (SYM) theory. We find exact closed-form formulae of the correlation functions of the Wilson line operators in the fundamental, antisymmetric and symmetric representations via the Fermi-gas method in the canonical and grand canonical ensembles. All the Schur line defect correlators are shown to be expressible in terms of multiple series that generalizes the Kronecker theta function. From the large N correlators we obtain generating functions for the spectra of the D5-brane giant and the D3-brane dual giant and find a correspondence between the fluctuation modes and the plane partition diamonds.https://doi.org/10.1007/JHEP06(2023)169Extended SupersymmetrySupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loops |
| spellingShingle | Yasuyuki Hatsuda Tadashi Okazaki Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators Journal of High Energy Physics Extended Supersymmetry Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| title | Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators |
| title_full | Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators |
| title_fullStr | Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators |
| title_full_unstemmed | Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators |
| title_short | Exact $$ \mathcal{N} $$ = 2* Schur line defect correlators |
| title_sort | exact mathcal n 2 schur line defect correlators |
| topic | Extended Supersymmetry Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP06(2023)169 |
| work_keys_str_mv | AT yasuyukihatsuda exactmathcaln2schurlinedefectcorrelators AT tadashiokazaki exactmathcaln2schurlinedefectcorrelators |