Deconfinement Temperature of Rotating QGP at Intermediate Coupling from ${\cal M}$-Theory

Abstract

With the aim of studying rotating quark-gluon plasma (QGP), holographically, from a top-down approach, the study of the effect of rotation on the deconfinement temperature of thermal QCD-like theories at intermediate coupling from ${\cal M}$-theory was missing in the literature. This paper fills this gap. The gravity dual includes a rotating cylindrical black hole. In the presence of rotation, from a semi-classical computation, we found that the deconfinement temperature is inversely proportional to the Lorentz factor, which suggests that the deconfinement temperature decreases with the increase of rotation. Further, we found that in the small angular velocity limit, results from higher derivative correction at ${\cal O}(R^4)$ do not change and are the same as in arXiv:2108.05372. The "UV-IR mixing", "Flavor Memory" effect, and "non-renormalization of $T_c$" in the ${\cal M}$-theory dual are similar to the ones observed in arXiv:2108.05372.