Kenkyu-Honkan bldg. 1F - Kobayashi Hall
Emergent Geometries from the BMN Matrix Model
- Dr. Yuhma ASANO
An idea to formulate string theory or M-theory by a gauge theory attracts theorists and has been extensively studied. The gauge theory should be lower dimensional so that a geometry in string or M-theory, which has higher dimensions, must emerge from it. This suggests that there would be a phase transition in the gauge theory and that the geometry should appear as its temperature decreases. In this talk, I will explain the BMN matrix model, a gauge theory considered as a non-perturbative formulation of M-theory on the plane-wave geometry. This theory has infinitely many vacua and each of them corresponds to one of bubbling geometries in the type IIA supergravity. Gauge-theory computation showed that a certain BPS operator reproduced the geometries on the gravity side and also brane geometries in the M-brane picture. At finite temperatures, these geometries should be realised in a non-trivial way, an example of which is a phase transition regarding a black hole---the confinement/deconfinement transition. Recently, the gravity solution corresponding to the thermal BMN model around the trivial vacuum was numerically obtained so that the critical temperature of the deconfinement transition was computed. I will show recent results of Monte Carlo simulations of the gauge-theory side, which revealed two types of phase transition, consistent with the gravity prediction.