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As applications of arXiv:2004.07259, the first part of the thesis is based on(i) arXiv:2011.04660 wherein we computed the low energy coupling constants ofSU(3) chiral perturbation theory at NLO in the chiral expansion in the chirallimit, from the type IIA string dual inclusive of ${\cal O}(R^4)$ correctionsand found a novel HD-large-$N$ connection; (ii) arXiv:2108.05372,arXiv:2203.11959 wherein we discussed confinement-deconfinement phasetransition in thermal QCD-like theories at intermediate coupling in theabsence/presence of rotation and observed (a) a novel "UV-IR" mixing, (b)"Flavor Memory" effect, (c) M$\chi$PT compatibility,(d) non-renormalization ofdeconfinement temperature $T_c$ beyond one loop in the zero instanton sector,and (e) found that the $T_c$ of rotating QGP decreases when angular velocity ofrotating cylindrical black hole increases and vice-versa. In the second part ofthesis, we obtained Page curves of Reissner-Nordstr\"{o}m black holes in thepresence of ${\cal O}(R^2)$ terms and black holes with multiple horizons inarXiv:2204.11882 and arXiv:2210.00331 respectively. In arXiv:2207.04048, weconstructed a doubly holographic setup for a non-conformal bath (thermal QCD)in ${\cal M}$-theory background with the inclusion of ${\cal O}(R^4)$ terms andobtained the Page curve of an eternal neutral black hole for massless gravitonlocalized on an ETW-"brane"/(Fluxed) hypersurface. Multiverse is described asthe setup of 2n anti de-Sitter (AdS) or de-Sitter branes embedded in thecorresponding bulk (arXiv:2301.06151). Since all the universes can communicatewith each other due to transparent boundary conditions at the defect, thereforeone could exchange information between any universes. This setup is also usedto obtain the Page curve of the Schwarzschild de-Sitter black hole, which hastwo horizons.

Aspects of Thermal QCD Phenomenology at Intermediate Gauge/'t Hooft Coupling from String/M-Theory, (HD) Gravity Islands, and Multiverse