Quantum selection of solvable time-carrying sectors

Determine whether quantum fluctuations select the solvable sectors that carry the timelike direction in the Lie-algebraic IKKT model by carrying out a large-\(N\) analysis.

Background

The paper's results are classical and establish that, within the ten-dimensional Lie-algebraic class, time must have a component in the solvable radical. Lorentzian Monte Carlo studies suggest that such sectors may be dynamically preferred, but the authors do not establish this quantum mechanically. They identify a large-$N$ analysis as necessary to resolve the issue.