Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N

Understand

According to the gauge/gravity duality conjecture, the thermodynamics of gauge theory describing D-branes corresponds to that of black branes in superstring theory.

• We test this conjecture directly in the case of D0-branes by applying Monte Carlo methods to the corresponding gauge theory, which takes the form of the BFSS matrix quantum mechanics.
• In particular, we take the continuum limit by extrapolating the UV cutoff to infinity.
• First we perform simulations at large N so that string loop corrections can be neglected on the gravity side.