Random Matrix Models, 2D Quantum Gravity, and Holography - Part 1 - Clifford Johnson

This course explores random matrix models, 2D quantum gravity, and holography. The learning outcomes include understanding the Gaussian Unitary Ensemble and its connection to the Airy model, as well as the computation of non-perturbative information using Fredholm determinants. Students will learn about the discrete spectrum and its holographic implications. The course teaches skills such as working with random matrices, toy field theory, orthogonal polynomial technology, and harmonic oscillators. The teaching method involves lectures and discussions. This course is intended for individuals interested in theoretical physics, quantum gravity, and holography.