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Using the UV-complete top-down type IIB holographic dual of large-$N$ thermalQCD as constructed in arXiv:hep-th/0902.1540, in arXiv:1507.02692[hep-th], thetype IIB background of arXiv:hep-th/0902.1540 was shown to be thermodynamicallystable. We also showed that the temperature dependence of DC electricalconductivity mimics a one-dimensional Luttinger liquid, and the requirement ofthe Einstein relation to be satisfied requires a specific dependence of theOuyang embedding parameter on the horizon radius. In arXiv:1606.04949[hep-th],we obtained the speed of sound, the shear mode diffusion constant and the shearviscosity $\eta$ (and $\frac{\eta}{s}$) upto (N)ext to (L)eading (O)rder in $N$by looking at the scalar, vector and tensor modes of metric perturbations andsolve Einstein's equation involving appropriate gauge-invariant combination ofperturbations as constructed in arXiv:hep-th/0506184. Another interestingresult for the temperature dependence of the thermal (and electrical)conductivity and the consequent deviation from the Wiedemann-Franz law, uponcomparison with arXiv:0903.3054[cond-mat], was obtained at leading order in$N$. The results for the above qualitatively mimic a 1+1-dimensional Luttingerliquid with impurities. Also we obtained the QCD deconfinement temperaturecompatible with lattice results. On the holographic phenomenology side, inarXiv:1703.01306 [hep-th], we computed the masses of the $0^{++},0^{-+},0^{--}, 1^{++}, 2^{++}$ `glueball' states in the same aforementionedbackgrounds. All these calculations were done both for a thermal backgroundwith an IR cut-off $r_0$ and a black hole background with horizon radius $r_h$.We used WKB quantization conditions on one hand and imposed Neumann/Dirichletboundary conditions at $r_0$/$r_h$ on the solutions to the equations of motionon the other.

Application of top-down holographic thermal QCD at finite coupling