Juan Abranches: Dually weighted multi-matrix models as a path to causal gravity-matter systems

mercredi 21 févr. 2024, 14:00 → 15:00 Europe/Paris

In this talk, I introduce a dually-weighted matrix model that reproduces two-dimensional Causal Dynamical Triangulations (CDT) coupled with the Ising Model. I present exact as well as approximate results for the Gaussian averages of characters of a Hermitian matrix A and A^2 for a given representation and show the present limitations that prevent us to solve the model analytically. This sets the stage for the formulation of more sophisticated matter models coupled to two-dimensional CDT as dually weighted multi-matrix models providing a complementary view to the standard simplicial formulation of CDT-matter models.