Scale Factor Self-Dual Cosmological Models

Abstract

We implement a conformal time scale factor duality for Friedmann-Robertson-Walker cosmological models, which is consistent with the weak energy condition. The requirement for self-duality determines the equations of state for a broad class of barotropic fluids. We study the example of a universe filled with two interacting fluids, presenting an accelerated and a decelerated period, with manifest UV/IR duality. The associated self-dual scalar field interaction turns out to coincide with the "radiation-like" modified Chaplygin gas models. We present an equivalent realization of them as gauged Kähler sigma models (minimally coupled to gravity) with very specific and interrelated Kähler- and super-potentials. Their applications in the description of hilltop inflation and also as quintessence models for the late universe are discussed.

v3, improved and extended version to be published in JHEP; new results added to sect.2; 4 figures; 17pgs

References in corpus (4)

• Dynamics of dark energy
• Large Field Inflation and Double $\alpha$-Attractors
• Inflation from Broken Scale Invariance
• Duality invariance and cosmological dynamics

Cited by in corpus (3)

• Scale Factor Duality for Conformal Cyclic Cosmologies
• On the thermodynamics of scale factor dual Universes
• Conformal Scale Factor Inversion for Domain Walls and Holography