Complexity growth in Gubser-Rocha models with momentum relaxation

Understand

The Einstein-Maxwell-Axion-Dilaton (EMAD) theories, based on the Gubser-Rocha (GR) model, are very interesting in holographic calculations of strongly correlated systems in the condensed matter physics.

• Due to the presence of spatially dependent massless axionic scalar fields, the momentum is relaxed and we have no translational invariance at finite charge density.
• It would be of interest to study some aspects of quantum information theory for such systems in the context of $AdS/CFT$ where EMAD theory is a holographic dual theory.
• For instance, in this paper we investigate the complexity and its time dependence for charged $AdS$ black holes of EMAD theories in diverse dimensions via the complexity equals action (CA) conjecture.