Rotating mesons in the presence of higher derivative corrections from gauge-string duality

We consider a rotating quark-antiquark $(q\bar{q})$ pair in $\mathcal{N}=4$ thermal plasma. By using AdS/CFT correspondence, the properties of this system have been investigated. We study variation of rotating string radius at the boundary as a function of the tip of U-shape string and angular velocity of rotating meson. We also extend the results to the higher derivative corrections i.e. ${\mathcal{R}}^2$ and ${\mathcal{R}}^4$ which correspond to finite coupling corrections on the rotating quark-antiquark system in the hot plasma. In ${\mathcal{R}}^4$ case and for fixed angular velocity as ${\lambda }^{-1}$ decreases the string endpoints get more and more separated. To study ${\mathcal{R}}^2$ corrections, rotating quark-antiquark system in Gauss-Bonnet background has been considered. We summarize the effects of these corrections in the conclusion section.