Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories
Abstract We study 1 4 $$ \frac{1}{4} $$ -BPS Wilson loops in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 super-Yang-Mills theories with conformal matter in an arbitrary representation R $$ \mathcal{R} $$ . These operators are formed of two meridians on the two-sphere separated by an arbitrary ope...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)125 |
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| author | L. Griguolo L. Guerrini A. Testa |
| author_facet | L. Griguolo L. Guerrini A. Testa |
| author_sort | L. Griguolo |
| collection | DOAJ |
| description | Abstract We study 1 4 $$ \frac{1}{4} $$ -BPS Wilson loops in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 super-Yang-Mills theories with conformal matter in an arbitrary representation R $$ \mathcal{R} $$ . These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun’s matrix model. The matrix representation of these operators resembles that of the 1 2 $$ \frac{1}{2} $$ -BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-N limit at strong coupling of N $$ \mathcal{N} $$ = 2 superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle. |
| format | Article |
| id | doaj-art-b501d98d35eb4aa6be67084c7c9e5be9 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b501d98d35eb4aa6be67084c7c9e5be92025-08-20T03:45:40ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025712910.1007/JHEP07(2025)125Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theoriesL. Griguolo0L. Guerrini1A. Testa2Dipartimento SMFI, Università di Parma and INFN Gruppo Collegato di ParmaFaculty of Physics, University of WarsawDipartimento SMFI, Università di Parma and INFN Gruppo Collegato di ParmaAbstract We study 1 4 $$ \frac{1}{4} $$ -BPS Wilson loops in four-dimensional SU(N) N $$ \mathcal{N} $$ = 2 super-Yang-Mills theories with conformal matter in an arbitrary representation R $$ \mathcal{R} $$ . These operators are formed of two meridians on the two-sphere separated by an arbitrary opening angle. We conjecture that these observables are encoded in a modification of Pestun’s matrix model. The matrix representation of these operators resembles that of the 1 2 $$ \frac{1}{2} $$ -BPS circular Wilson loop, differing only for a rescaling in the exponent. We compare the matrix model predictions with an explicit three-loop calculation in flat space based on standard Feynman-diagram techniques, finding perfect agreement. Finally, exploiting the matrix model representation of these Wilson loops, we study the large-N limit at strong coupling of N $$ \mathcal{N} $$ = 2 superconformal QCD, finding a surprising transition in the vacuum expectation value for a critical opening angle.https://doi.org/10.1007/JHEP07(2025)125Extended SupersymmetrySupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loopsAdS-CFT Correspondence |
| spellingShingle | L. Griguolo L. Guerrini A. Testa Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories Journal of High Energy Physics Extended Supersymmetry Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops AdS-CFT Correspondence |
| title | Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories |
| title_full | Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories |
| title_fullStr | Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories |
| title_full_unstemmed | Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories |
| title_short | Into the wedge of N $$ \mathcal{N} $$ = 2 superconformal gauge theories |
| title_sort | into the wedge of n mathcal n 2 superconformal gauge theories |
| topic | Extended Supersymmetry Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops AdS-CFT Correspondence |
| url | https://doi.org/10.1007/JHEP07(2025)125 |
| work_keys_str_mv | AT lgriguolo intothewedgeofnmathcaln2superconformalgaugetheories AT lguerrini intothewedgeofnmathcaln2superconformalgaugetheories AT atesta intothewedgeofnmathcaln2superconformalgaugetheories |