Disorder in Gauge/Gravity Duality, Pole Spectrum Statistics and Random Matrix Theory

Understand

In condensed-matter, level statistics has long been used to characterize the phases of a disordered system.

• We provide evidence within the context of a simple model that in a disordered large-N gauge theory with a gravity dual, there exist phases where the nearest neighbor spacing distribution of the unfolded pole spectra of generic two-point correlators is Poisson.
• This closely resembles the localized phase of the Anderson Hamiltonian.
• We perform two tests on our statistical hypothesis.