Bianchi Cosmologies: New Variables and a Hidden Supersymmetry
Octavio Obregon, Jorge Pullin, Michael P. Ryan
TL;DR
This paper introduces a supersymmetric reformulation of Bianchi IX cosmology using Ashtekar variables, linking quantum states across different approaches and suggesting broader theoretical implications.
Contribution
It presents a novel supersymmetrization of Bianchi IX cosmology in Ashtekar variables, connecting quantum states from various frameworks and relating to supergravity.
Findings
Supersymmetrization of Bianchi IX cosmology achieved.
Connections established between different quantum state formulations.
Implications for general theory briefly discussed.
Abstract
We find a supersymmetrization of the Bianchi IX cosmology in terms of Ashtekar's new variables. This provides a framework for connecting the recent results of Graham and those of Ryan and Moncrief for quantum states of this model. These states are also related with the states obtained particularizing supergravity for a minisuperspace. Implications for the general theory are also briefly discussed.
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