The Non-perturbative Canonical Quantization of the N=1 Supergravity

TL;DR

This paper develops a non-perturbative canonical quantization approach for N=1 supergravity with a cosmological constant using Ashtekar variables, deriving semi-classical wave functions and solutions in cosmological models.

Contribution

It introduces a novel non-perturbative quantization method for N=1 supergravity and derives explicit semi-classical wave functions and solutions in cosmological settings.

Findings

Semi-classical wave function as exponential of supersymmetric Chern-Simons functional

Analytic solutions in Robertson-Walker universe

Advances non-perturbative quantum supergravity methods

Abstract

The non-perturbative canonical quantization of the N=1 supergravity with the non-zero cosmological constant is studied using the Ashtekar formalism. A semi-classical wave function is obtained and it has the form of the exponential of the N=1 supersymmetric extension of the Chern-Simons functional. The N=1 supergravity in the Robertson-Walker universe is also examined and some analytic solutions are obtained. (We omit all graphs in the following LaTex file.)