Information flows in strongly coupled ABJM theory

Understand

We use holographic methods to characterize the RG flow of quantum information in a Chern-Simons theory coupled to massive fermions.

• First, we use entanglement entropy and mutual information between strips to derive the dimension of the RG-driving operator and a monotonic c-function.
• We then display a scaling regime where, unlike in a CFT, the mutual information between strips changes non-monotonically with strip width, vanishing in both IR and UV but rising to a maximum at intermediate scales.
• The associated information transitions also contribute to non-monotonicity in the conditional mutual information which characterizes the independence of neighboring strips after conditioning on a third.