An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity
General Relativity and Quantum Cosmology
2022-11-21 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
The Chern-Simons-Kodama (CSK) state is an exact, non-perturbative wave function in the Ashtekar formulation of classical General Relativity. In this work, we find a generalized fermionic CSK state by solving the extended gravitational and fermionic Hamiltonian constraints of the Wheeler-DeWitt equation exactly. We show that this new state reduces to the original Kodama state upon symmetry reduction to FRW coordinates with perturbative fermionic corrections, making contact with the Hartle-Hawking and Vilenkin wave functions of the universe in cosmology. We also find that when both torsion and fermions are non-vanishing, the wave function possesses a finite amplitude to evade the Big Bang curvature singularity.
Keywords
Cite
@article{arxiv.2207.11856,
title = {An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity},
author = {Stephon Alexander and Tatsuya Daniel and Marcell Howard and Morgane Konig},
journal= {arXiv preprint arXiv:2207.11856},
year = {2022}
}