Reiko Toriumi

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20232026

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math-ph2025

An equivalence in random matrix and tensor models via a dually weighted intermediate field representation

Juan Abranches, Alicia Castro, Reiko Toriumi

We present novel equivalences in random matrix and tensor models between complex and self-adjoint theories with nontrivial quadratic terms in the action, established through an int…

math-ph2023

Classification of higher grade $ℓ$ graphs for $U (N)^{2} \times O (D)$ multi-matrix models

Rémi Cocou Avohou, Reiko Toriumi, Matthias Vancraeynest

The authors studied in [Ann. Inst. Henri Poincaré D 9, 367-433, (2022)], a complex multi-matrix model with $U (N)^{2} \times O (D)$ symmetry, and whose double scaling…

math-ph2023

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

Juan L. A. Abranches, Antonio D. Pereira, Reiko Toriumi

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.…

An equivalence in random matrix and tensor models via a dually weighted intermediate field representation

Classification of higher grade ℓ graphs for U(N)2×O(D) multi-matrix models

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

Classification of higher grade $ℓ$ graphs for $U (N)^{2} \times O (D)$ multi-matrix models