Strong-coupling results in (non-)conformal 𝒩=2 theories with fundamental flavors

Abstract

We study a class of four-dimensional 𝒩=2 SU(N) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and 0≤ N_f≤ 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 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 λ̃. In the non-conformal window (0≤ 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 λ̃ suggests a refined AdS/CFT dictionary in which λ̃, rather than λ, plays the role of the bulk string coupling.

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BibTeX RIS

BibTeX

@misc{billo2026strongcoupling,
  title = {{Strong-coupling results in (non-)conformal $\mathcalN=2$ theories with fundamental flavors}},
  author = {M. Billo and A. Lerda and A. Testa},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2605.16521},
  eprint = {2605.16521},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.16521},
}

RIS

TY  - UNPB
TI  - Strong-coupling results in (non-)conformal 𝒩=2 theories with fundamental flavors
AU  - M. Billo
AU  - A. Lerda
AU  - A. Testa
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2605.16521
UR  - https://arxiv.org/abs/2605.16521
AB  - We study a class of four-dimensional 𝒩=2 SU(N) gauge theories with two massless hypermultiplets in the rank-two antisymmetric representation and 0≤ N_f≤ 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 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 λ̃. In the non-conformal window (0≤ 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 λ̃ suggests a refined AdS/CFT dictionary in which λ̃, rather than λ, plays the role of the bulk string coupling.
ER  -

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