Multi-field conformal cosmological attractors

By R. Kallosh, Andrei Linde. 2013

181 citations recorded by the source corpus.

We describe a broad class of multi-field inflationary models with spontaneously broken conformal invariance. It generalizes the recently discovered class of cosmological attractors with a single inflaton field [1]. In the new multi-field theories, just as in the single-field models of [1], the moduli space has a boundary (Kahler cone) in terms of the original homogeneous conformal variables. Upon spontaneous breaking of the conformal invariance and switching to the Einstein frame, this boundary moves to infinity in terms of the canonically normalized inflaton field. This results in the exponential stretching and flattening of scalar potentials in the vicinity of the boundary of the moduli space, which makes even very steep potentials perfectly suitable for the slow-roll inflation. These theories, just like their single-field versions, typically lead to inflationary perturbations with n{sub s} = 1−2/N and r = 12/N{sup 2}, where N is the number of e-foldings.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/196110104b45dfa607bf6aa6b941a19c69eaf6ae

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Citations in the corpus

Cosmological attractors and initial conditions for inflation (2015, methodology): “” This class is very broad, including conformal attractors [1], universal attractors with non-minimal coupling to gravity [2], and α-attractors [3–6], and it also incorporates many previously existing models such as Starobinsky model [7], GL model [8, 9], and Higgs inflation model [10].”
Inflationary Cosmology after Planck 2013 (2014, background): “According to [133], most of the inflationary trajectories in this landscape correspond to the inflationary regime with the universal observational predictions 1− ns = 2/N , r = 12/N(2), just as for the single-field attractors studied in [105].”
Large field inflation and double α-attractors (2014, background): “For a detailed discussion of related issues and for the description of incorporation of these models to superconformal theory and supergravity see [9, 10, 11, 13, 15] (and [16] for related work).”
Superconformal inflationary α-attractors (2013, methodology): “In this section we will describe superconformal realizations of the α = 1 attractor models, following [1].”
Escher in the Sky (2015, methodology): “and show that for a very broad choice of the functions f(Z) this theory has the same observational predictions [36, 38].”