Optical and thermodynamic properties of a rotating dyonic black hole spacetime in $${\mathcal {N}} = 2, U(1)^2$$ N = 2 , U ( 1 ) 2 gauged supergravity

The null geodesics and the distance of closest approach for photon around a rotating dyonic black hole in $${\mathcal {N}} = 2, U(1)^2$$ gauged supergravity is studied. The phenomenon of black hole shadows with various black hole parameters has also analyzed. Further, the investigation of various thermodynamic properties for this black hole is performed with various thermodynamic parameters at the horizon. The heat capacity to study the thermodynamic stability of this black hole spacetime is also studied. The influence for different values of the black hole parameters $$ \nu $$ , e, $$ \nu $$ , g and $$N_{g}$$ on the phenomenon of black hole shadows and thermodynamic parameters is also investigated visually.