English

Quantum gravity equation in large N Yang-Mills quantum mechanics

High Energy Physics - Theory 2008-12-18 v3

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 Schr\"odinger 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.

Keywords

Cite

@article{arxiv.0807.1186,
  title  = {Quantum gravity equation in large N Yang-Mills quantum mechanics},
  author = {Toshihiro Matsuo and Dan Tomino and Wen-Yu Wen and Syoji Zeze},
  journal= {arXiv preprint arXiv:0807.1186},
  year   = {2008}
}

Comments

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

R2 v1 2026-06-21T10:58:24.282Z