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Marcell Howard (U Pittsburg)

Date: Tue. September 13th, 2022, 11:30 am-12:30 pm
Location: Foldy room, Rockefeller building 221

An Exact Fermionic Chern-Simons-Kodama State in Quantum Gravity

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.

Host: Kurt Hinterbichler

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