Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers
Abstract Using supersymmetric localization, we consider four-dimensional N $$ \mathcal{N} $$ = 2 superconformal quiver gauge theories obtained from ℤ n $$ {\mathbb{Z}}_n $$ orbifolds of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-08-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2017)066 |
| _version_ | 1811322570147889152 |
|---|---|
| author | Alessandro Pini Diego Rodriguez-Gomez Jorge G. Russo |
| author_facet | Alessandro Pini Diego Rodriguez-Gomez Jorge G. Russo |
| author_sort | Alessandro Pini |
| collection | DOAJ |
| description | Abstract Using supersymmetric localization, we consider four-dimensional N $$ \mathcal{N} $$ = 2 superconformal quiver gauge theories obtained from ℤ n $$ {\mathbb{Z}}_n $$ orbifolds of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for |λ I | < π2, where λ I are the ’t Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the N $$ \mathcal{N} $$ = 4 theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator. |
| first_indexed | 2024-04-13T13:37:25Z |
| format | Article |
| id | doaj.art-e82febe4d97f42bb86044b676bbcbbf8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T13:37:25Z |
| publishDate | 2017-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-e82febe4d97f42bb86044b676bbcbbf82022-12-22T02:44:45ZengSpringerOpenJournal of High Energy Physics1029-84792017-08-012017813410.1007/JHEP08(2017)066Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quiversAlessandro Pini0Diego Rodriguez-Gomez1Jorge G. Russo2Department of Physics, Universidad de OviedoDepartment of Physics, Universidad de OviedoInstitució Catalana de Recerca i Estudis Avançats (ICREA)Abstract Using supersymmetric localization, we consider four-dimensional N $$ \mathcal{N} $$ = 2 superconformal quiver gauge theories obtained from ℤ n $$ {\mathbb{Z}}_n $$ orbifolds of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory in the large N limit at weak coupling. In particular, we show that: 1) The partition function for arbitrary couplings can be constructed in terms of universal building blocks. 2) It can be computed in perturbation series, which converges uniformly for |λ I | < π2, where λ I are the ’t Hooft coupling of the gauge groups. 3) The perturbation series for two-point functions can be explicitly computed to arbitrary orders. There is no universal effective coupling by which one can express them in terms of correlators of the N $$ \mathcal{N} $$ = 4 theory. 4) One can define twisted and untwisted sector operators. At the perturbative orbifold point, when all the couplings are the same, the correlators of untwisted sector operators coincide with those of N $$ \mathcal{N} $$ = 4 Super Yang-Mills theory. In the twisted sector, we find remarkable cancellations of a certain number of planar loops, determined by the conformal dimension of the operator.http://link.springer.com/article/10.1007/JHEP08(2017)066Supersymmetric Gauge TheoryAdS-CFT Correspondence |
| spellingShingle | Alessandro Pini Diego Rodriguez-Gomez Jorge G. Russo Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers Journal of High Energy Physics Supersymmetric Gauge Theory AdS-CFT Correspondence |
| title | Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers |
| title_full | Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers |
| title_fullStr | Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers |
| title_full_unstemmed | Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers |
| title_short | Large N correlation functions N $$ \mathcal{N} $$ = 2 superconformal quivers |
| title_sort | large n correlation functions n mathcal n 2 superconformal quivers |
| topic | Supersymmetric Gauge Theory AdS-CFT Correspondence |
| url | http://link.springer.com/article/10.1007/JHEP08(2017)066 |
| work_keys_str_mv | AT alessandropini largencorrelationfunctionsnmathcaln2superconformalquivers AT diegorodriguezgomez largencorrelationfunctionsnmathcaln2superconformalquivers AT jorgegrusso largencorrelationfunctionsnmathcaln2superconformalquivers |