From matrix model to string theory and M-theory
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Recent development of quantum technologies suggest an exciting new direction of the study of quantum gravity: We might be able to create black holes! More precisely, we might be able to use quantum devices to simulate (seemingly) non-gravitational systems that are equivalent to quantum black holes via holography. For such a purpose, the D0-brane matrix model is probably the simplest target that has well-controlled limit that describes weakly-coupled gravity.
In this talk, we show the latest results of numerical simulations of the D0-brane matrix model. The duality between the matrix model and type IIA superstring theory is confirmed with a good precision, including stringy corrections. Furthermore, we find a new low-energy phase (confined phase) and suggest that this phase describes M-theory. We further argue that the matrix model can describe the eleven-dimensional Schwarzschild black hole.
If time permits, we will provide a rough resource estimate for quantum simulation.