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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 systemhave been investigated. We study variation of rotating string radius at theboundary as a function of the tip of U-shape string and angular velocity ofrotating meson. We also extend the results to the higher derivative correctionsi.e. ${\cal{R}}^2$ and ${\cal{R}}^4$ which correspond to finite couplingcorrections on the rotating quark-antiquark system in the hot plasma. In${\cal{R}}^4$ case and for fixed angular velocity as $\lambda^{-1}$ decreasesthe string endpoints get more and more separated. To study ${\cal{R}}^2$corrections, rotating quark-antiquark system in Gauss-Bonnet background hasbeen considered. We summarize the effects of these corrections in theconclusion section.

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