Dually weighted multi-matrix models as a path to causal gravity-matter systems
Abstract
We introduce a dually-weighted multi-matrix model that for a suitable choice of weights reproduce two-dimensional Causal Dynamical Triangulations (CDT) coupled to the Ising model. When Ising degrees of freedom are removed, this model corresponds to the CDT-matrix model introduced by Benedetti and Henson [Phys. Lett. B 678, 222 (2009)]. We present exact as well as approximate results for the Gaussian averages of characters of a Hermitian matrix and for a given representation and establish 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.
Keywords
Cite
@article{arxiv.2310.13503,
title = {Dually weighted multi-matrix models as a path to causal gravity-matter systems},
author = {Juan L. A. Abranches and Antonio D. Pereira and Reiko Toriumi},
journal= {arXiv preprint arXiv:2310.13503},
year = {2024}
}
Comments
48 pages, 19 figures