Cosmological attractor models and higher curvature supergravity

• Published in: The journal of high energy physics Vol. 2014; no. 5; pp. 1 - 19
• Main Authors: Cecotti, Sergio, Kallosh, Renata
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01-05-2014; Springer Nature B.V
• Subjects: Astronomical models; Classical and Quantum Gravitation; Curvature; Derivatives; Elementary Particles; Gravity waves; High energy physics; Inflation; Mathematical analysis; Mathematics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Supergravity; Supergravity Models; Cosmology of Theories beyond the SM
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP05(2014)114

A
bstract
We study cosmological
α
-attractors in superconformal/supergravity models, where
α
is related to the geometry of the moduli space. For
α
= 1 attractors [1] we present a generalization of the previously known manifestly superconformal higher curvature supergravity model [2]. The relevant standard 2-derivative supergravity with a minimum of two chiral multiplets is shown to be dual to a 4-derivative higher curvature supergravity, where in general one of the chiral superfields is traded for a curvature superfield. There is a degenerate case when both matter superfields become non-dynamical and there is only a chiral curvature superfield, pure higher derivative supergravity. Generic
α
-models [3] interpolate between the attractor point at
α
= 0 and generic chaotic inflation models at large
α
, in the limit when the inflaton moduli space becomes flat. They have higher derivative duals with the same number of matter fields as the original theory or less, but at least one matter multiplet remains. In the context of these models, the detection of primordial gravity waves will provide information on the curvature of the inflaton submanifold of the Kähler manifold, and we will learn if the inflaton is a fundamental matter multiplet, or can be replaced by a higher derivative curvature excitation.