  Till date, the only consistent description of the deconfinement phase of the
Sakai-Sugimoto model appears to be provided by the analysis of [1]
(arXiv:1107.4048). The current version of the analysis, however, has a subtlety
regarding the monodromy of quarks around the Euclidean time circle. In this
note, we revisit and resolve this issue by considering the effect of an
imaginary baryon chemical potential on quark monodromies. With this ingredient,
the proposal of [1] for investigating finite temperature QCD using holography
is firmly established. Additionally, our technique allows a holographic
computation of the free energy as a function of the imaginary chemical
potential in the deconfinement phase; we show that our result agrees with the
corresponding formula obtained from perturbative QCD, namely the Roberge-Weiss
potential.
