String/${\cal M}$-theory Dual of Large-$N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology

Vikas Yadav

paper

String/ $M$ -theory Dual of Large- $N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology

arXiv:2111.12655

Abstract

Considering the setup of arXiv:0902.1540 [hep-th] involving UV-complete top-down type IIB holographic dual of large-N thermal QCD with a fluxed resolved warped deformed conifold, in arXiv:1306.4339 [hep-th] delocalized type IIA S(trominger)-Y(au)-Z(aslow)mirror of the type IIB background of arXiv:0902.1540 [hep-th] was constructed via three T dualities along a special Lagrangian $T^{3}$ fibered over a large base and then uplifted, locally, to the 11-dimensional $M$ -theory. Considering the aforementioned setup arXiv:1306.4339 [hep-th] in the `MQGP' limit, in arXiv:1703.01306 [hep-th] we obtained the masses of the $0^{++}, 0^{-+}, 0^{--}, 1^{++}, 2^{++}$ (`glueball') states. We also obtained analytical expressions for the vector and scalar meson spectra in arXiv:1707.02818 [hep-th]. We used WKB quantization conditions and Neumann/Dirichlet boundary conditions at an IR cut-off (` $r_{0}$ ')/horizon radius (` $r_{h}$ ') on the solutions to the equations of motion. We also discussed the $r_{h} = 0$ -limits of all calculations which correspond to the thermal background. Subsequently, in arXiv:1808.01182 [hep-th] we obtained the interaction Lagrangian corresponding to exotic scalar glueball $(G_{E}) - ρ / π$ - meson. Assuming $M_{G} > 2 M_{ρ}$ , we then computed $ρ \to 2 π, G_{E} \to 2 π, 2 ρ, ρ + 2 π$ decay widths as well as the direct and indirect (mediated via $ρ$ mesons) $G_{E} \to 4 π$ decays. In arXiv:2004.07259 [hep-th] we obtained $O (l_{p}^{6})$ corrections to the MQGP background of arXiv:1306.4339 [hep-th] to study a top-down holographic dual of the thermal QCD-like theories at intermediate 't Hooft coupling and in arXiv:2011.04660 [hep-th] we obtained the values of the coupling constants of the $O (p^{4})$ $χ$ PT Lagrangian in the chiral limit, inclusive of the $O (R^{4})$ corrections.

285 pages, 2 figures, 13 tables; based on Ph.D. thesis successfully defended on Nov 19, 2021 and arXiv:1703.01306, arXiv:1707.02818, arXiv:1808.01182, arXiv:2011.04660, arXiv:2004.07259

String/M-theory Dual of Large-N Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology

Abstract

References in corpus (15)

String/ $M$ -theory Dual of Large- $N$ Thermal QCD-Like Theories at Intermediate Gauge/'t Hooft Coupling and Holographic Phenomenology