  We use holography to study a $(1+1)$-dimensional Conformal Field Theory (CFT)
coupled to an impurity. The CFT is an $SU(N)$ gauge theory at large $N$, with
strong gauge interactions. The impurity is an $SU(N)$ spin. We trigger an
impurity Renormalization Group (RG) flow via a Kondo coupling. The Kondo effect
occurs only below the critical temperature of a large-$N$ mean-field
transition. We show that at all temperatures $T$, impurity spectral functions
exhibit a Fano resonance, which in the low-$T$ phase is a large-$N$
manifestation of the Kondo resonance. We thus provide an example in which the
Kondo resonance survives strong correlations, and uncover a novel mechanism for
generating Fano resonances, via RG flows between $(0 + 1)$-dimensional fixed
points
