Multiscale confining dynamics from holographic RG flows

Understand

We consider renormalization group flows between conformal field theories in five (six) dimensions with a string (M-theory) dual.

• By compactifying on a circle (torus) with appropriate boundary conditions, we obtain continuous families of confining four-dimensional theories parametrized by the ratio $\Lambda_{\rm {\tiny flow}}/\Lambda_{\rm \tiny{QCD}}$, with $\Lambda_{\rm \tiny{flow}}$ the scale at which the flow between fixed points takes place and $\Lambda_{\rm \tiny{QCD}}$ the confinement scale.
• We construct the dual geometries explicitly and compute the spectrum of scalar bound states (glueballs).
• We find a `universal' subset of states common to all the models.