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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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Journal of High Energy Physics, 2016, vol. 2016, num. 168

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cc-by (c) Fiol Núñez, Bartomeu et al., 2016

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Articles publicats en revistes (Física Quàntica i Astrofísica)

# metadata.dc.title[].value
Probing N=2 superconformal field theories with localization