Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions
Abstract We consider circular Wilson loops in a defect version of N $$ \mathcal{N} $$ = 4 super-Yang- Mills theory which is dual to the D3-D5 brane system with k units of flux. When the loops are parallel to the defect, we can construct both BPS and non-BPS operators, depending on the orientation of...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP03(2020)084 |
| _version_ | 1811264558940028928 |
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| author | Sara Bonansea Silvia Davoli Luca Griguolo Domenico Seminara |
| author_facet | Sara Bonansea Silvia Davoli Luca Griguolo Domenico Seminara |
| author_sort | Sara Bonansea |
| collection | DOAJ |
| description | Abstract We consider circular Wilson loops in a defect version of N $$ \mathcal{N} $$ = 4 super-Yang- Mills theory which is dual to the D3-D5 brane system with k units of flux. When the loops are parallel to the defect, we can construct both BPS and non-BPS operators, depending on the orientation of the scalar couplings in the R-symmetry directions. At strong ’t Hooft coupling we observe, in the non supersymmetric case, a Gross-Ooguri-like phase transition in the dual gravitational theory: the familiar disk solution dominates, as expected, when the operator is far from the defect while a cylindrical string worldsheet, connecting the boundary loop with the probe D5-brane, is favourite below a certain distance (or equivalently for large radii of the circles). In the BPS case, instead, the cylindrical solution does not exist for any choice of the physical parameters, suggesting that the exchange of light supergravity modes always saturate the expectation value at strong coupling. We study the double-scaling limit for large k and large ’t Hooft coupling, finding full consistency in the non-BPS case between the string solution and the one-loop perturbative result. Finally we discuss, in the BPS case, the failure of the double-scaling limit and the OPE expansion of the Wilson loop, finding consistency with the known results for the one-point functions of scalar composite operators. |
| first_indexed | 2024-04-12T20:06:35Z |
| format | Article |
| id | doaj.art-10b1db29fc324fb4a2485362dd3cbe90 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-12T20:06:35Z |
| publishDate | 2020-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-10b1db29fc324fb4a2485362dd3cbe902022-12-22T03:18:22ZengSpringerOpenJournal of High Energy Physics1029-84792020-03-012020314510.1007/JHEP03(2020)084Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansionsSara Bonansea0Silvia Davoli1Luca Griguolo2Domenico Seminara3Dipartimento di Fisica, Università di Firenze and INFN Sezione di FirenzeDipartimento SMFI, Università di Parma and INFN Gruppo Collegato di ParmaDipartimento SMFI, Università di Parma and INFN Gruppo Collegato di ParmaDipartimento di Fisica, Università di Firenze and INFN Sezione di FirenzeAbstract We consider circular Wilson loops in a defect version of N $$ \mathcal{N} $$ = 4 super-Yang- Mills theory which is dual to the D3-D5 brane system with k units of flux. When the loops are parallel to the defect, we can construct both BPS and non-BPS operators, depending on the orientation of the scalar couplings in the R-symmetry directions. At strong ’t Hooft coupling we observe, in the non supersymmetric case, a Gross-Ooguri-like phase transition in the dual gravitational theory: the familiar disk solution dominates, as expected, when the operator is far from the defect while a cylindrical string worldsheet, connecting the boundary loop with the probe D5-brane, is favourite below a certain distance (or equivalently for large radii of the circles). In the BPS case, instead, the cylindrical solution does not exist for any choice of the physical parameters, suggesting that the exchange of light supergravity modes always saturate the expectation value at strong coupling. We study the double-scaling limit for large k and large ’t Hooft coupling, finding full consistency in the non-BPS case between the string solution and the one-loop perturbative result. Finally we discuss, in the BPS case, the failure of the double-scaling limit and the OPE expansion of the Wilson loop, finding consistency with the known results for the one-point functions of scalar composite operators.http://link.springer.com/article/10.1007/JHEP03(2020)0841/N ExpansionAdS-CFT CorrespondenceExtended SupersymmetryIntegrable Field Theories |
| spellingShingle | Sara Bonansea Silvia Davoli Luca Griguolo Domenico Seminara Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Extended Supersymmetry Integrable Field Theories |
| title | Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions |
| title_full | Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions |
| title_fullStr | Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions |
| title_full_unstemmed | Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions |
| title_short | Circular Wilson loops in defect N $$ \mathcal{N} $$ = 4 SYM: phase transitions, double-scaling limits and OPE expansions |
| title_sort | circular wilson loops in defect n mathcal n 4 sym phase transitions double scaling limits and ope expansions |
| topic | 1/N Expansion AdS-CFT Correspondence Extended Supersymmetry Integrable Field Theories |
| url | http://link.springer.com/article/10.1007/JHEP03(2020)084 |
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