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We report on the lattice simulation result of one dimensional supersymmetric Yang-Mills theory with sixteen supercharges. According to the gauge/gravity duality, this theory is expected to be dual to N D0-branes in type IIA superstring/supergravity. If the imaginary time direction is interpreted as temperature, in the large N limit, low temperature region where the gauge theory is strongly coupled corresponds to a classical black hole. We examine the gauge theory side by the lattice simulation to verify the duality conjecture. In this article, we focus on the internal energy of the black hole. The internal energy obtained by the simulation is compared with high temperature expansion at high temperatures, on the other hand, it is getting close to the analytic solution of the gravity side at low temperatures.

Lattice simulation of lower dimensional SYM with sixteen supercharges