Lattice bosonization of matrix quantum mechanics and c = 1

11.02.2025 14:00 – 15:00

Matrix models provide some of the simplest calculable setups to study emergent spacetime/gravity. Indeed, some of the first examples of emergent space with gravity to be discovered were from large N limit of matrix models, the most notable being the emergence of 2d string theory under an appropriate double-scaling limit of the c = 1 model.

The standard collective variable bosonization (in terms of eigenvalue density), which has been traditionally thought to provide a good continuum description of large N matrix models, is found to suffer from some problems. For instance, several important physical quantities that are finite in the double-scaled c = 1 model, such as entanglement entropy and one-loop scattering amplitude, turn out to be divergent from the collective boson description. In this talk, I will describe these issues briefly and present an alternate exact lattice bosonization of Matrix Quantum Mechanics (time dependent matrix models) that is both valid for any integer N and free of the aforementioned problems.

Lieu

Bâtiment: Ecole de Physique

EP234

entrée libre