Phase structure of matrix quantum mechanics at finite temperature

Understand

We study matrix quantum mechanics at finite temperature by Monte Carlo simulation.

• The model is obtained by dimensionally reducing 10d U(N) pure Yang-Mills theory to 1d.
• Following Aharony et al., one can view the same model as describing the high temperature regime of (1+1)d U(N) super Yang-Mills theory on a circle.
• In this interpretation an analog of the deconfinement transition was conjectured to be a continuation of the black-hole/black-string transition in the dual gravity theory.