Quantum Gravity Microstates from Fredholm Determinants

Understand

A large class of two dimensional quantum gravity theories of Jackiw-Teitelboim form have a description in terms of random matrix models.

• Such models, treated fully non-perturbatively, can give an explicit and tractable description of the underlying ``microstate'' degrees of freedom.
• They play a prominent role in regimes where the smooth geometrical picture of the physics is inadequate.
• This is shown using a natural tool for extracting the detailed microstate physics, a Fredholm determinant ${\rm det}(\mathbf{1}{-}\mathbf{ K})$.