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Meson spectroscopy at finite gauge coupling - whereat any perturbative QCDcomputation would break down - and finite number of colors, from a top-downholographic string model, has thus far been entirely missing in the literature.This paper fills in this gap. Using the delocalized type IIA SYZ mirror (with$SU(3)$ structure) of the holographic type IIB dual of large-$N$ thermal QCD ofarXiv:hep-th/0902.1540 as constructed in arXiv:hep-th/1306.4339 at finitecoupling and number of colors ($N_c$ = Number of $D5(\overline{D5}$)-braneswrapping a vanishing two-cycle in the top-down holographic construct ofarXiv:hep-th/0902.1540 = ${\cal O}(1)$ in the IR in the MQGP limit ofarXiv:hep-th/1306.4339 at the end of a Seiberg duality cascade), we obtainanalytical (not just numerical) expressions for the vector and scalar mesonspectra and compare our results with previous calculations of hep-th/0412141,arXiv:1409.0559 [hep-th], and obtain a closer match with the Particle DataGroup (PDG) results (Chin. Phys. C, 38, 090001 (2014) and 2015 update). Throughexplicit computations, we verify that the vector and scalar meson spectraobtained by the gravity dual with a black hole for all temperatures (small andlarge) are nearly isospectral with the spectra obtained by a thermal gravitydual valid for only low temperatures; the isospectrality is much closer forvector mesons than scalar mesons. The black hole gravity dual (with a horizonradius smaller than the deconfinement scale) also provides the expectedlarge-$N$ suppressed decrease in vector meson mass with an increase oftemperature.

european physical journal. c, particles and fields

Delocalized SYZ Mirrors and Confronting Top-Down $SU(3)$-Structure  Holographic Meson Masses at Finite $g$ and $N_c$ with P(article) D(ata)  G(roup) Values