Canonical D = 1 supergravity framework for FLRW cosmology
Abstract
We construct an extension of standard flat FLRW cosmology with matter, possessing local D = 1, N = 1 proper-time supersymmetry. The fundamental equation for the resulting mini-superspace models of quantum universes is a Dirac-like analogue of the Friedmann and Wheeler-DeWitt equations. We provide solutions of this equation for specific matter configurations based on the supersymmetric O(3) and O(2, 1) sigma-models. It turns out that in the compact model the volume rate of growth of the universe is quantized and non-vanishing due to the zero-point energy of the scalar fields. In the non-compact model the spectrum of the growth rates is continuous but subject to an uncertainty relation involving the scale and the growth factor.
Cite
@article{arxiv.1503.01929,
title = {Canonical D = 1 supergravity framework for FLRW cosmology},
author = {M. P. Bogers and J. W. van Holten},
journal= {arXiv preprint arXiv:1503.01929},
year = {2015}
}
Comments
14 pages, no figures