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The top-down type IIB holographic dual of large-$N$ thermal QCD asconstructed in arXiv:0902.1540 involving a fluxed resolved warped deformedconifold, its delocalized type IIA SYZ mirror as well as its M-theory upliftconstructed in arXiv:1306.4339 - both in the finite gauge coupling($g_s\stackrel{<}{\sim}1$)/`MQGP' limit of arXiv:1306.4339 - were shownexplicitly to possess a local $SU(3)/G_2$-structure in arXiv:1507.02692Glueball spectroscopy at finite gauge coupling has thus far been missing in theliterature. In this paper, we fill this gap by calculating the masses of the$0^{++}, 0^{-+},0^{--}, 1^{++}, 2^{++}$ (`glueball') states (which correspondto fluctuations in the dilaton or complexified two-forms or appropriate metriccomponents) in the aforementioned backgrounds of $G$-structure in the `MQGP'limit of arXiv:1306.4339, using WKB quantization conditions on one hand andimposing Neumann/Dirichlet boundary conditions at an IR cut-off/horizon radius$r_h$ on the solutions to the equations of motion on the other. We also discuss$r_h=0$-limits of all calculations; in this context we also calculate the$0^{++}, 0^{--},1^{++}, 2^{++}$ glueball masses up to NLO in $N$ and find a$\frac{g_sM^2}{N}(g_sN_f)$-suppression similar to and further validating asimilar semi-universality of NLO corrections to transport coefficients,observed in arXiv:1606.04949.

Top-Down Holographic $G$-Structure Glueball Spectroscopy at (N)LO in $N$ and Finite Gauge Coupling