Abstract
We use supersymmetric localization to study probes of four dimensional Lagrangian \( \mathcal{N}=2 \) superconformal field theories. We first derive a unique equation for the eigenvalue density of these theories. We observe that these theories have a Wigner eigenvalue density precisely when they satisfy a necessary condition for having a holographic dual with a sensible higher-derivative expansion. We then compute in the saddle-point approximation the vacuum expectation value of 1/2-BPS circular Wilson loops, and the two-point functions of these Wilson loops with the Lagrangian density and with the stress-energy tensor. This last computation also provides the corresponding Bremsstrahlung functions and entanglement entropies. As expected, whenever a finite fraction of the matter is in the fundamental representation, the results are drastically different from those of \( \mathcal{N}=4 \) supersymmetric Yang-Mills theory.
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ArXiv ePrint: 1511.00616
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Fiol, B., Garolera, B. & Torrents, G. Probing \( \mathcal{N}=2 \) superconformal field theories with localization. J. High Energ. Phys. 2016, 168 (2016). https://doi.org/10.1007/JHEP01(2016)168
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DOI: https://doi.org/10.1007/JHEP01(2016)168