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

TL;DR

This paper investigates how rotation affects the deconfinement temperature of a holographic quark-gluon plasma at intermediate coupling using ${ m M}$-theory, revealing an inverse relationship with the Lorentz factor and confirming stability of results under higher derivative corrections.

Contribution

It provides a top-down holographic analysis of rotating QGP, incorporating ${ m M}$-theory duals and higher derivative corrections, which was previously unexplored.

Findings

Deconfinement temperature decreases with increasing rotation.

Higher derivative corrections do not alter results at small angular velocity.

Results exhibit UV-IR mixing and flavor memory effects similar to prior studies.

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.