Constraining Non-Relativistic RG Flows with Holography

Understand

We examine non-relativistic holographic RG flows by working with Einstein-Maxwell-scalar theories which support geometries that break Lorentz invariance at some energy scale.

• We adopt the superpotential formalism, which helps us characterize the radial flow in this setup and bring to light a number of generic features.
• In particular, we identify several quantities that behave monotonically under RG flow.
• As an example, we show that the index of refraction is generically monotonic.