IAS Physics Group Meeting
Random Matrix Models, 2D Quantum Gravity, and Holography (Part 1)
This group meeting will be presented in-person in Wolfensohn Hall at the IAS and on Zoom. The Zoom link will be provided in the email announcement.
NOTE: Part 2 of this discussion will take place on Thursday, March 10th. A separate announcement will be sent soon.
For contact-tracing purposes all off-campus attendees must register for this seminar:
REGISTRATION FORM
All in-person attendees must be fully vaccinated, including a booster dose, and masks are required in all indoor spaces (except while actively eating). Additionally, all off-campus attendees are required to upload proof of vaccination that includes a booster dose via the IAS CrowdPass App .
Abstract: In the first of two lectures I will present a pedagogical exploration of perhaps the simplest random matrix model, the Gaussian Unitary Ensemble. It gives the Airy model in the double scaling limit. I will first review the features that we usually focus on when studying models of gravity and argue that they need to be supplemented by much more non-perturbative information, readily computed using Fredholm determinants. The physical picture that emerges implies a specific kind of discrete spectrum, apparently previously unnoticed in this context. Its holographic meaning is discussed. This all readily generalizes to an infinite family of models.