Quantum gravity equation in large N Yang-Mills quantum mechanics

Abstract

We propose a new interpretation of the BFSS large N matrix quantum mechanics analogous to a novel interpretation of the IKKT matrix model where infinitely large N matrices act as differential operators in a curved space. In this picture, the Schrödinger equation in the BFSS model is regarded as the Wheeler-DeWitt equation which determines the wave function of universe. An explicit solution of wave function is studied in a simple two-dimensional minisuperspace model.

20 pages, v2 references added and typos corrected, v3 comments added

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Cited by in corpus (5)

• Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• Expanding universe as a classical solution in the Lorentzian matrix model for nonperturbative superstring theory
• Late time behaviors of the expanding universe in the IIB matrix model
• Regularization of matrices in the covariant derivative interpretation of matrix models
• Classical Solutions of a Torsion Gravity from a Large N Matrix Model