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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/128242
Probing N=2 superconformal field theories with localization
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We use supersymmetric localization to study probes of four dimensional Lagrangian 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 N=4 supersymmetric Yang-Mills theory.
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FIOL NÚÑEZ, Bartomeu, GAROLERA, Blai and TORRENTS VERDAGUER, Genís. Probing N=2 superconformal field theories with localization. Journal of High Energy Physics. 2016. Vol. 2016, num. 168. ISSN 1126-6708. [consulted: 9 of August of 2026]. Available at: https://hdl.handle.net/2445/128242