A note on the pp-wave solution of Minimal Massive 3D Gravity coupled with Maxwell-Chern-Simons theory

We obtain a family of $pp$-wave solutions of Minimal Massive 3d Gravity (MMG) minimally coupled with the Maxwell-Chern-Simons theory. The simultaneous solutions of the MMG and the Maxwell field equations require that the Maxwell field should satisfy an anti-self-duality condition.