Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors
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| Format: | Preprint |
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2026
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| author | Billo, M. Lerda, A. Testa, A. |
| author_facet | Billo, M. Lerda, A. Testa, A. |
| contents | We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for $N_f=4$ and asymptotically free otherwise. Supersymmetric localization on the four-sphere applies in both cases and leads to matrix-model representations for a broad class of protected observables. Within this framework, we compute the free energy and the expectation value of the $\frac{1}{2}$-BPS circular Wilson loop in the large-$N$ limit. For any $N_f$, we show that the infinite series of non-planar corrections at large 't Hooft coupling $λ$ can be resummed in terms of an effective coupling $\widetildeλ$. In the non-conformal window ($0\leq N_f<4$), this provides a first example in which localization leads to explicit results in the planar limit at strong 't Hooft coupling. In the superconformal case ($N_f=4$), the large-$N$ expansion in $\widetildeλ$ suggests a refined AdS/CFT dictionary in which $\widetildeλ$, rather than $λ$, plays the role of the bulk string coupling. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_16521 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors Billo, M. Lerda, A. Testa, A. High Energy Physics - Theory We study a class of four-dimensional $\mathcal{N}=2$ SU($N$) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and $0\leq N_f\leq 4$ fundamental flavors. These theories are superconformal for $N_f=4$ and asymptotically free otherwise. Supersymmetric localization on the four-sphere applies in both cases and leads to matrix-model representations for a broad class of protected observables. Within this framework, we compute the free energy and the expectation value of the $\frac{1}{2}$-BPS circular Wilson loop in the large-$N$ limit. For any $N_f$, we show that the infinite series of non-planar corrections at large 't Hooft coupling $λ$ can be resummed in terms of an effective coupling $\widetildeλ$. In the non-conformal window ($0\leq N_f<4$), this provides a first example in which localization leads to explicit results in the planar limit at strong 't Hooft coupling. In the superconformal case ($N_f=4$), the large-$N$ expansion in $\widetildeλ$ suggests a refined AdS/CFT dictionary in which $\widetildeλ$, rather than $λ$, plays the role of the bulk string coupling. |
| title | Strong-coupling results in (non-)conformal $\mathcal{N}=2$ theories with fundamental flavors |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2605.16521 |