Improved Holographic QCD on a Curved Background: An Application of Dynamical System Theory in Holography

Abstract The finite‐curvature phase diagram of improved holographic QCD (IHQCD), a bottom‐up holographic model for large non‐supersymmetric , is investigated. This holographic theory belongs to a class of Einstein‐Dilaton theories that exhibit no scaling in the IR. Advanced techniques from dynamical system theory to are employed to address this problem that is harder than other holographic setups. A classification is provided for all solutions in which the dual theory is defined on a constant curvature manifold, both with positive and negative curvature. For general theories in this class, a quantum phase transition occurs at finite curvature. For IHQCD in particular, it is determined that the phase transition occurs at zero curvature.