Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory
Abstract The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provide...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2019)149 |
| _version_ | 1818276578361081856 |
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| author | Anthonny F. Canazas Garay Alberto Faraggi Wolfgang Mück |
| author_facet | Anthonny F. Canazas Garay Alberto Faraggi Wolfgang Mück |
| author_sort | Anthonny F. Canazas Garay |
| collection | DOAJ |
| description | Abstract The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiplywound Wilson loops at leading order in 1/N. |
| first_indexed | 2024-12-12T22:47:52Z |
| format | Article |
| id | doaj.art-8db11c1774e24c60b242e1df5e826d82 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T22:47:52Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8db11c1774e24c60b242e1df5e826d822022-12-22T00:09:08ZengSpringerOpenJournal of High Energy Physics1029-84792019-08-012019811510.1007/JHEP08(2019)149Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theoryAnthonny F. Canazas Garay0Alberto Faraggi1Wolfgang Mück2Instituto de Física, Pontificia Universidad Católica de ChileDepartamento de Ciencias Fisicas, Facultad de Ciencias Exactas, Universidad Andres BelloDipartimento di Fisica “Ettore Pancini”, Università degli Studi di Napoli “Federico II”Abstract The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group U(N ) are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiplywound Wilson loops at leading order in 1/N.http://link.springer.com/article/10.1007/JHEP08(2019)1491/N ExpansionAdS-CFT CorrespondenceWilson’t Hooft and Polyakov loops |
| spellingShingle | Anthonny F. Canazas Garay Alberto Faraggi Wolfgang Mück Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Wilson ’t Hooft and Polyakov loops |
| title | Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory |
| title_full | Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory |
| title_fullStr | Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory |
| title_full_unstemmed | Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory |
| title_short | Note on generating functions and connected correlators of 1/2-BPS Wilson loops in N $$ \mathcal{N} $$ = 4 SYM theory |
| title_sort | note on generating functions and connected correlators of 1 2 bps wilson loops in n mathcal n 4 sym theory |
| topic | 1/N Expansion AdS-CFT Correspondence Wilson ’t Hooft and Polyakov loops |
| url | http://link.springer.com/article/10.1007/JHEP08(2019)149 |
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