Lattice Approach to Black Holes

Who: Masanori Hanada (Kyoto University)
When: Tuesday, November 22, 2016 at 14:15
Where: The CP³ meeting room

The gauge/gravity duality conjecture claims that certain gauge theories, which are typically supersymmetric, give nonperturbative formulations of superstring/M-theory, at least about certain background geometries.
If the duality conjecture is correct, it enables us to learn about superstring/M-theory, especially its quantum gravitational aspects, by solving gauge theories. However, because it is difficult to solve gauge theories without relying on symmetries, the power of the duality has not been fully explored. In this talk, we demonstrate that numerical methods from lattice gauge theory provide us with powerful tools. After briefly explaining the theoretical developments in lattice and lattice-motivated methods for supersymmetric gauge theories in these 15 years, we demonstrate the power of numerical methods by using the D0-brane quantum mechanics as a specific example.
We show how (the D0-brane version of) the so-called 3/4-problem has been solved, and give quantitative evidence for the duality at finite temperature, including stringy effects.
We will also apply the numerical method to the ‘bulk reconstruction’; we study the dynamics of the eigenvalue of the matrix fields and suggest a simple way of identifying the black hole horizon.