Confronting the magnetically-induced holographic composite inflation with observation

Abstract

We study the observational predictions of the phenomenological anti-de Sitter (AdS)/QCD inspired model, in which the inflaton field emerges in a four-dimensional strongly coupled gauge theory, in which the chiral symmetry breaking occurs through the formation of the quark condensate. Based on a top-down approach of AdS/QCD, using a D7-brane in the background of $N_c$ D3-branes, it has already been shown that chiral symmetry breaking in a magnetic field through the generation of the Higgs vacuum expectation value could be a second-order phase transition, although it was doubted that this scenario could lead to enough inflation. Using an iterative method, we consistently solve for the time-dependent parameters, including the embedding function of the D7-brane and the Hubble parameter of the expanding background. We show that with $N_c\sim 10^7$ and $g_{{}_{\mathrm{UV}}}\sim \mathrm{few}\times 0.1$, the predictions of the inflationary model are consistent with the most stringent constraints placed on the inflationary models by Planck 2018. Although the model is capable of producing a large amount of gravitational waves, $r\simeq 0.01$, the displacement of the canonical mass dimension-1 scalar field remains below the Planck mass, in violation of the Lyth bound.

arXiv comment7 pages, 8 figures. v2: Matched the PRD version

References in corpus (22)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Planck 2018 results. X. Constraints on inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Towards Inflation in String Theory
• QCD and a Holographic Model of Hadrons
• Adding flavor to AdS/CFT
• Reconstructing the Inflaton Potential --- an Overview
• What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?
• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
• Chaotic inflation on the brane
• AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
• Flavoured Large N Gauge Theory in an External Magnetic Field
• Holographic Berezinskii-Kosterlitz-Thouless Transitions
• M-flation: Inflation From Matrix Valued Scalar Fields
• Phase diagram of the D3/D5 system in a magnetic field and a BKT transition
• Chaotic Inflation with a Fractional Power-Law Potential in Strongly Coupled Gauge Theories
• Minimal Composite Inflation
• Gauged M-flation, its UV sensitivity and Spectator Species
• An Inflaton Mass Problem in String Inflation from Threshold Corrections to Volume Stabilization
• Holography of a Composite Inflaton
• Dynamical Fractional Chaotic Inflation -- Dynamical Generation of a Fractional Power-Law Potential for Chaotic Inflation
• Non-Minimal M-flation