Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD

Understand

We discuss the phase structure of N D4 branes wrapped on a temporal (Euclidean) and a spatial circle, in terms of the near-horizon AdS geometries.

• This system has been studied previously to understand four dimensional pure SU(N) Yang-Mills theory (YM4) through holography.
• In the usual treatment of the subject, the phase transition between the AdS soliton and the black D4 brane is interpreted as the strong coupling continuation of the confinement/deconfinement transition in YM4.
• We show that this interpretation is not valid, since the black D4 brane and the deconfinement phase of YM4 have different realizations of the Z_N centre symmetry and cannot be identified.