Surface operators and exact holography
Abstract Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-’t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary operator in N $$ \mathcal{N} $$ = 4 super Yang-Mills...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)195 |
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| author | Changha Choi Jaume Gomis Raquel Izquierdo García |
| author_facet | Changha Choi Jaume Gomis Raquel Izquierdo García |
| author_sort | Changha Choi |
| collection | DOAJ |
| description | Abstract Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-’t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary operator in N $$ \mathcal{N} $$ = 4 super Yang-Mills is a finite polynomial in the Yang-Mills coupling constant. Surprisingly, in spite of these observables receiving nontrivial quantum corrections, we find that these correlation functions are exactly captured in the ’t Hooft limit by supergravity in asymptotically AdS 5 × S 5 [1] ! We also calculate exactly the surface operator vacuum expectation value and the correlator of a surface operator with 1/8-BPS Wilson loops using supersymmetric localization. We demonstrate that these correlation functions in N $$ \mathcal{N} $$ = 4 SYM realize in a nontrivial fashion the conjectured action of S-duality. Finally, we perturbatively quantize N $$ \mathcal{N} $$ = 4 SYM around the surface operator singularity and identify the Feynman diagrams that, when summed over, reproduce the exact result obtained by localization. |
| format | Article |
| id | doaj-art-949ed65cb3ff427cbfe1d86631dfe823 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-949ed65cb3ff427cbfe1d86631dfe8232025-01-12T12:05:47ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241216510.1007/JHEP12(2024)195Surface operators and exact holographyChangha Choi0Jaume Gomis1Raquel Izquierdo García2Perimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract Surface operators are nonlocal probes of gauge theories capable of distinguishing phases that are not discernible by the classic Wilson-’t Hooft criterion. We prove that the correlation function of a surface operator with a chiral primary operator in N $$ \mathcal{N} $$ = 4 super Yang-Mills is a finite polynomial in the Yang-Mills coupling constant. Surprisingly, in spite of these observables receiving nontrivial quantum corrections, we find that these correlation functions are exactly captured in the ’t Hooft limit by supergravity in asymptotically AdS 5 × S 5 [1] ! We also calculate exactly the surface operator vacuum expectation value and the correlator of a surface operator with 1/8-BPS Wilson loops using supersymmetric localization. We demonstrate that these correlation functions in N $$ \mathcal{N} $$ = 4 SYM realize in a nontrivial fashion the conjectured action of S-duality. Finally, we perturbatively quantize N $$ \mathcal{N} $$ = 4 SYM around the surface operator singularity and identify the Feynman diagrams that, when summed over, reproduce the exact result obtained by localization.https://doi.org/10.1007/JHEP12(2024)195AdS-CFT CorrespondenceSupersymmetric Gauge Theory |
| spellingShingle | Changha Choi Jaume Gomis Raquel Izquierdo García Surface operators and exact holography Journal of High Energy Physics AdS-CFT Correspondence Supersymmetric Gauge Theory |
| title | Surface operators and exact holography |
| title_full | Surface operators and exact holography |
| title_fullStr | Surface operators and exact holography |
| title_full_unstemmed | Surface operators and exact holography |
| title_short | Surface operators and exact holography |
| title_sort | surface operators and exact holography |
| topic | AdS-CFT Correspondence Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP12(2024)195 |
| work_keys_str_mv | AT changhachoi surfaceoperatorsandexactholography AT jaumegomis surfaceoperatorsandexactholography AT raquelizquierdogarcia surfaceoperatorsandexactholography |