$\mathcal N=2$ conformal gauge theories at large R-charge: the $SU(N)$ case

Understand

Conformal theories with a global symmetry may be studied in the double scaling regime where the interaction strength is reduced while the global charge increases.

• Here, we study generic 4d $\mathcal N=2$ $SU(N)$ gauge theories with conformal matter content at large R-charge $Q_{\rm R}\to \infty$ with fixed 't Hooft-like coupling $\kappa = Q_{\rm R}\,g_{\rm YM}^{2}$.
• Our analysis concerns two distinct classes of natural scaling functions.
• The first is built in terms of chiral/anti-chiral two-point functions.