Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria

Abstract

The reconstruction of a k-essence inflationary universe, considering the unification between the swampland criteria and the attractor given by the scalar spectral index $n_S(N)$ together with the slow roll parameter $\epsilon (N)$in terms of the number of $e$-folds $N$ is studied. In the context of a coupling of the form $L(\varphi )X$ in the k-essence model, we find the effective potential $V$ and the coupling parameter $L$ in terms of the scalar spectral index and the slow roll parameter under a general formalism. To apply the unification in our model, we consider some examples in order to rebuild the effective potential $V(\varphi )$ and the coupling parameter $L(\varphi )$ as a function of the inflaton field $\varphi$. Here, we find that the reconstruction gives rise to an exponential potential and also to natural and hyperbolic inflation, respectively. Thus, in this article we show that it is possible to unify the theoretical foundations from the swampland criteria and the observational parameters corroborated by observations, in the reconstruction of an inflationary universe.

25 pages

References in corpus (19)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Multi-messenger Observations of a Binary Neutron Star Merger
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The Standard Model Higgs boson as the inflaton
• On the Geometry of the String Landscape and the Swampland
• Beyond the Cosmological Standard Model
• The Swampland: Introduction and Review
• G-inflation: inflation driven by the Galileon field
• A Natural Framework for Chaotic Inflation
• A k-essence Model Of Inflation, Dark Matter and Dark Energy
• K-inflationary Power Spectra in the Uniform Approximation
• Reconstruction of Slow-roll $F(R)$ Gravity Inflation from the Observational Indices
• Reconstructing a $f(R)$ theory from the $\alpha$-Attractors
• Constraints on the spectral index for the inflation models in string landscape
• The trans-Planckian censorship conjecture from the swampland distance conjecture
• Trans-Planckian Censorship Conjecture and Non-thermal post-inflationary history
• Hyperbolic Inflation in the Light of Planck 2015 data
• Non-canonical kinetic structures in the swampland
• Brane inflation: swampland criteria, TCC, and reheating predictions

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• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• $\beta$-function reconstruction of Palatini inflationary attractors