Matrix models provide some of the simplest calculable setups to study emergent spacetime. Early examples of emergent space with gravity arose from the large-N limit of matrix models, most notably the emergence of two-dimensional string theory in the double-scaling limit of the c=1 model.
The standard collective-variable bosonization (in terms of eigenvalue density), generally believed to provide a good continuum description of large-N matrix models, is found to suffer from some problems: e.g. important finite quantities in the double-scaled c=1 model, such as EE and one-loop scattering amplitude, become divergent in this framework.
In this talk, I will describe these issues and present an alternate exact lattice bosonization of Matrix Quantum Mechanics that is valid for any finite N and free of aforementioned problems. I will illustrate its application to the c=1 model, including new results on the perturbative expansion of EE in powers of string coupling.
Zoom link: https://icts-res-in.zoom.us/j/88092766911?pwd=R3ZrVk9yeW96ZmQ4ZG9KRzVhenRKZz09
Meeting ID: 880 9276 6911
Passcode: 232322