Imaginary potential and thermal width in the spinning black hole background from holography

In this study, we investigate the imaginary potential of heavy quarkonium in the spinning black hole background. Then we estimate the thermal width, which is determined by the imaginary part of the finite temperature potential. In the ultra-local description, the boosted fluid represents a globally rotating fluid. Using a holographic approach, we systematically analyze how boost parameter influences these quantities. Our results reveal that increasing boost parameter causes the imaginary potential to emerge at smaller interquark distances, suggesting that boost parameter accelerates quarkonium melting. Furthermore, we find that boost parameter enhances the thermal width, indicating greater instability of the bound state at higher boost parameter. Notably, we observe that the effect of boost parameter on quarkonium dissociation is more pronounced when the axis of the quark-antiquark pair is transverse to the direction of boost parameter.