  We study the dissociation effect of $J/\Psi$ in magnetized, rotating QGP
matter at finite temperature and chemical potential using gauge/gravity
duality. By incorporating angular velocity into the holographic magnetic
catalysis model, we analyze the influence of temperature, chemical potential,
magnetic field, and angular velocity on the properties of $J/\Psi$ meson. The
results reveal that temperature, chemical potential, and rotation enhance the
dissociation effect and increase the effective mass in the QGP phase. However,
the magnetic field suppresses dissociation, and its effect on the effective
mass is non-trivial. Additionally, we explore the interplay between magnetic
field and rotation, identifying a critical angular velocity that determines the
dominant effect. As a parallel study, we also examine the rotation effect in
the holographic inverse magnetic catalysis model, although the magnetic field
exhibits distinctly different behaviors in these two models, the impact of
rotation on the dissociation effect of $J/\Psi$ is similar. Finally, we
investigate the influence of electric field and demonstrate that it also speeds
up the $J/\Psi$ dissociation.
