The planar limit of integrated 4-point functions
Abstract We study the planar limit of integrated 4-point functions of moment map operators of 𝒩 = 2 SU(N) SQCD. We do so by considering the planar free energy on S 4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-po...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2023)100 |
| _version_ | 1797647462115049472 |
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| author | Bartomeu Fiol Ziwen Kong |
| author_facet | Bartomeu Fiol Ziwen Kong |
| author_sort | Bartomeu Fiol |
| collection | DOAJ |
| description | Abstract We study the planar limit of integrated 4-point functions of moment map operators of 𝒩 = 2 SU(N) SQCD. We do so by considering the planar free energy on S 4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of 𝒩 = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit. |
| first_indexed | 2024-03-11T15:17:47Z |
| format | Article |
| id | doaj.art-339326bbbe0e432b935f146f9b43531d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:17:47Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-339326bbbe0e432b935f146f9b43531d2023-10-29T12:08:27ZengSpringerOpenJournal of High Energy Physics1029-84792023-07-012023712410.1007/JHEP07(2023)100The planar limit of integrated 4-point functionsBartomeu Fiol0Ziwen Kong1Departament de Física Quàntica i Astrofísica i, Institut de Ciències del Cosmos, Universitat de BarcelonaDepartment of Mathematics, King’s College LondonAbstract We study the planar limit of integrated 4-point functions of moment map operators of 𝒩 = 2 SU(N) SQCD. We do so by considering the planar free energy on S 4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of 𝒩 = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit.https://doi.org/10.1007/JHEP07(2023)1001/N ExpansionSupersymmetric Gauge Theory |
| spellingShingle | Bartomeu Fiol Ziwen Kong The planar limit of integrated 4-point functions Journal of High Energy Physics 1/N Expansion Supersymmetric Gauge Theory |
| title | The planar limit of integrated 4-point functions |
| title_full | The planar limit of integrated 4-point functions |
| title_fullStr | The planar limit of integrated 4-point functions |
| title_full_unstemmed | The planar limit of integrated 4-point functions |
| title_short | The planar limit of integrated 4-point functions |
| title_sort | planar limit of integrated 4 point functions |
| topic | 1/N Expansion Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP07(2023)100 |
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