Holographic Conformal Window - A Bottom Up Approach

Abstract

We propose a five-dimensional framework for modeling the background geometry associated to ordinary Yang-Mills (YM) as well as to nonsupersymmetric gauge theories possessing an infrared fixed point with fermions in various representations of the underlying gauge group. The model is based on the improved holographic approach, on the string theory side, and on the conjectured all-orders beta function for the gauge theory one. We first analyze the YM gauge theory. We then investigate the effects of adding flavors and show that, in the holographic description of the conformal window, the geometry becomes AdS when approaching the ultraviolet and the infrared regimes. As the number of flavors increases within the conformal window we observe that the geometry becomes more and more of AdS type over the entire energy range.

20 Pages, 3 Figures. v2: references added

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• A holographic model for QCD in the Veneziano limit at finite temperature and density
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• The discontinuities of conformal transitions and mass spectra of V-QCD
• Holographic modeling of nuclear matter and neutron stars
• Conformal Window of Gauge Theories with Four-Fermion Interactions and Ideal Walking
• Massive holographic QCD in the Veneziano limit
• Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories
• The CP-odd sector and $\theta$ dynamics in holographic QCD
• Holographic Walking from Tachyon DBI
• Holography of the Conformal Window
• Mass Deformed Exact S-parameter in Conformal Theories
• Hot Conformal Gauge Theories
• Holographic Modelling of a Light Techni-Dilaton
• Meson spectra of asymptotically free gauge theories from holography
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Extreme Technicolor & The Walking Critical Temperature
• W' and Z' limits for Minimal Walking Technicolor
• Combined Constraints on Holographic Bosonic Technicolor
• Standard Model-like corrections to Dilatonic Dynamics
• Holograms of a Dynamical Top Quark
• Recent progress in backreacted bottom-up holographic QCD