Two-point functions in ABJM matrix model
Abstract We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy two simple relations with the one-point functions. On...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-05-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP05(2018)181 |
| _version_ | 1819075631248310272 |
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| author | Naotaka Kubo Sanefumi Moriyama |
| author_facet | Naotaka Kubo Sanefumi Moriyama |
| author_sort | Naotaka Kubo |
| collection | DOAJ |
| description | Abstract We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy two simple relations with the one-point functions. One of them is associated with the Littlewood-Richardson rule, while the other is more novel. With plenty of data, we also revisit the one-point functions and study how the diagonal BPS indices are split asymmetrically by the degree difference. |
| first_indexed | 2024-12-21T18:28:29Z |
| format | Article |
| id | doaj.art-64e484dfc1e94de9aebc00647fe4c9c0 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T18:28:29Z |
| publishDate | 2018-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-64e484dfc1e94de9aebc00647fe4c9c02022-12-21T18:54:20ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018514610.1007/JHEP05(2018)181Two-point functions in ABJM matrix modelNaotaka Kubo0Sanefumi Moriyama1Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto UniversityDepartment of Physics, Graduate School of Science, Osaka City UniversityAbstract We introduce non-trivial two-point functions of the super Schur polynomials in the ABJM matrix model and study their exact values with the Fermi gas formalism. We find that, although defined non-trivially, these two-point functions enjoy two simple relations with the one-point functions. One of them is associated with the Littlewood-Richardson rule, while the other is more novel. With plenty of data, we also revisit the one-point functions and study how the diagonal BPS indices are split asymmetrically by the degree difference.http://link.springer.com/article/10.1007/JHEP05(2018)181Chern-Simons TheoriesM-TheoryMatrix ModelsTopological Strings |
| spellingShingle | Naotaka Kubo Sanefumi Moriyama Two-point functions in ABJM matrix model Journal of High Energy Physics Chern-Simons Theories M-Theory Matrix Models Topological Strings |
| title | Two-point functions in ABJM matrix model |
| title_full | Two-point functions in ABJM matrix model |
| title_fullStr | Two-point functions in ABJM matrix model |
| title_full_unstemmed | Two-point functions in ABJM matrix model |
| title_short | Two-point functions in ABJM matrix model |
| title_sort | two point functions in abjm matrix model |
| topic | Chern-Simons Theories M-Theory Matrix Models Topological Strings |
| url | http://link.springer.com/article/10.1007/JHEP05(2018)181 |
| work_keys_str_mv | AT naotakakubo twopointfunctionsinabjmmatrixmodel AT sanefumimoriyama twopointfunctionsinabjmmatrixmodel |