Effective Quark Antiquark Potential in the Quark Gluon Plasma from Gravity Dual Models

We estimate the effective heavy quark and antiquark potential in the quark gluon plasma using the gravity dual theory. Two models are considered: $AdS_{5}$ and Sakai-Sugimoto model. The effective potential, obtained by using the rotating fundamental open-string configurations, has the angular momentum dependence which generalizes the static central potential. Motivated by the asymptotic form for zero angular momentum state, we fit the effective potential for $J=1,2$ states in the binding region. The fitting parameters are found to be functions of temperature. Finally, we discuss the differences and similarities of the effective potential between the two gravity dual models. An interesting result is that position of the minimum of potential is determined only by angular momentum and independent of the temperature.