The QCD Trace Anomaly at Strong Coupling from M-Theory

Abstract

In this short note we address the issue of obtaining the temperature dependence of the QCD conformal anomaly from a top-down holographic dual consistent with very recent lattice results for both, T<Tc and T>Tc. As the holographic dual, we use the M-theory uplift of the SYZ type IIA mirror obtained in arXiv:1306.4339 at finite gauge/string coupling (as part of the 'MQGP' limit) of the type IIB holographic dual of large-N thermal QCD of arXiv:0902.1540. We also show that after a tuning of the (small) Ouyang embedding parameter and radius of a blown-up S^2 when expressed in terms of the horizon radius, a QCD deconfinement temperature Tc = 150 MeV from a Hawking-Page phase transition at vanishing baryon chemical potential, consistent with lattice QCD in the heavy-quark limit, can be obtained.

v3: 27 pages, LaTeX; references, clarifying text and a table added; to appear in EPJC

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• Entanglement entropy and Page curve from the $\mathcal{M}$-theory dual of thermal QCD above $T_c$ at intermediate coupling
• (Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to $\mathcal{O}(p^4)$ and the $\mathcal{O}\left(R^4\right)$-Large-$N$ Connection
• $\mathcal{M}$cTEQ ($\mathcal{M}$ $\mathbf{c}$hiral perturbation theory-compatible deconfinement $\mathbf{T}$emperature and $\mathbf{E}$ntanglement Entropy up to terms $\mathbf{Q}$uartic in curvature) and FM ($\mathbf{F}$lavor $\mathbf{M}$emory)
• A more realistic holographic model of color superconductivity with the higher derivative corrections
• Quark flavors in hot and dense holographic QCD: setup and comparison to data