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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-07-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP07(2025)125 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |