Holography with a Landau pole

Understand

Holography for UV-incomplete gauge theories is important but poorly understood.

• A paradigmatic example is $d=4$, $\mathcal{N}=4$ super Yang-Mills coupled to $N_f$ quark flavors, which possesses a Landau pole at a UV scale $\Lambda_{LP}$.
• The dual gravity solution exhibits a UV singularity at a finite proper distance along the holographic direction.
• Despite this, holographic renormalization can be fully implemented via analytic continuation to an AdS solution.