YOUNGST@RS - Combinatorics in Fundamental Physics

Session

Random Geometry for Quantum Gravity

Nov 26, 2024, 9:30 AM

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

8. Timothy Budd: Random geometry and the enumerative combinatorics of maps

11/26/24, 9:30 AM

In this talk I will give an introduction to the study of the random metrics on surfaces via the combinatorics of planar maps, a topic with a long history in math and physics. I will highlight the use of bijective methods, that have played an important role in establishing scaling limits of random maps towards two-dimensional quantum gravity.

11. Reiko Toriumi: Random tensor models for quantum gravity (a look at tensor models with a mixed U(N) and O(D) symmetry)

11/26/24, 10:30 AM

I will discuss random tensor models for quantum gravity, of a particular case with mixed U(N) and O(D) symmetry.

A certain U(N)^2 \otimes O(D) order-3 tensor model can be viewed as a complex multi-matrix model with D copies of complex matrices. This model admits an expansion in two parameters owing to the presence of N and D, and yields a more refined classification of Feynman graphs...

12. Luca Lionni: Current challenges in the random geometry approach to quantum gravity

11/26/24, 11:30 AM