Spatially modulated instabilities of holographic gauge-gravitational anomaly

Understand

We performed a study of the perturbative instabilities in Einstein-Maxwell-Chern-Simons theory with a gravitational Chern-Simons term, which is dual to a strongly coupled field theory with both chiral and mixed gauge-gravitational anomaly.

• With an analysis of the fluctuations in the near horizon regime at zero temperature, we found that there might be two possible sources of instabilities.
• The first one corresponds to a real mass-squared which is below the BF bound of AdS$_2$, and it leads to the bell-curve phase diagram at finite temperature.
• The effect of mixed gauge-gravitational anomaly is emphasised.