The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators
Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of N $$ \mathcal{N} $$ = 2 SQCD on S 4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix mode...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2021)032 |
| _version_ | 1819138206025646080 |
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| author | Bartomeu Fiol Alan Rios Fukelman |
| author_facet | Bartomeu Fiol Alan Rios Fukelman |
| author_sort | Bartomeu Fiol |
| collection | DOAJ |
| description | Abstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of N $$ \mathcal{N} $$ = 2 SQCD on S 4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4. |
| first_indexed | 2024-12-22T11:03:05Z |
| format | Article |
| id | doaj.art-7eb34537f17d4683be24bd7532cf0503 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T11:03:05Z |
| publishDate | 2021-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7eb34537f17d4683be24bd7532cf05032022-12-21T18:28:25ZengSpringerOpenJournal of High Energy Physics1029-84792021-08-012021812010.1007/JHEP08(2021)032The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlatorsBartomeu Fiol0Alan Rios Fukelman1Departament de Física Quàntica i Astrofísica i Institut de Ciències del Cosmos, Universitat de BarcelonaDepartament de Física Quàntica i Astrofísica i Institut de Ciències del Cosmos, Universitat de BarcelonaAbstract We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of N $$ \mathcal{N} $$ = 2 SQCD on S 4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4.https://doi.org/10.1007/JHEP08(2021)0321/N ExpansionSupersymmetric Gauge Theory |
| spellingShingle | Bartomeu Fiol Alan Rios Fukelman The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators Journal of High Energy Physics 1/N Expansion Supersymmetric Gauge Theory |
| title | The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators |
| title_full | The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators |
| title_fullStr | The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators |
| title_full_unstemmed | The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators |
| title_short | The planar limit of N $$ \mathcal{N} $$ = 2 chiral correlators |
| title_sort | planar limit of n mathcal n 2 chiral correlators |
| topic | 1/N Expansion Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP08(2021)032 |
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